# What gesture does Sampson make toward Abram in Romeo and Juliet?

**MATH**

**a5=190,a10=115a5=190,a10=115 Find a formula for anan for the arithmetic sequence.**

We have to find the first term a1a1 and the common difference d,d, then the general formula will be an=a1+(n−1)d.an=a1+(n-1)d. The difference between a10a10 and a5a5 is equal to 5 common differences,…

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**MATH**

**a3=94,a6=85a3=94,a6=85 Find a formula for a_n for the arithmetic sequence.**

We have to find the first term a1a1 and the common difference d,d, then the general formula will be an=a1+(n−1)d.an=a1+(n-1)d. The difference between a6a6 and a3a3 is equal to 3 common differences,…

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**MATH**

**a1=−4,a5=16a1=-4,a5=16 Find a formula for a_n for the arithmetic sequence.**

a1=−4a1=-4 a5=16a5=16 Let d be the common difference of the arithmetic sequence. a5=a1+4da5=a1+4d Plug in the values of a_5 and a_1 in the above equation to get d, 16=−4+4d16=-4+4d 4d=16+44d=16+4 4d=204d=20 d=204d=204…

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**MATH**

**a1=5,a4=15a1=5,a4=15 Find a formula for a_n for the arithmetic sequence.**

a1=5a1=5 a4=15a4=15 Let d be the common difference of the arithmetic sequence, a4=a1+3da4=a1+3d Plug the value of a_4 and a_1 in the above equation to obtain d, 15=5+3d15=5+3d 3d=15−5=103d=15-5=10 d=103d=103…

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**MATH**

**10,5,0,−5,−1010,5,0,-5,-10 Find a formula for a_n for the arithmetic sequence.**

The given first few terms of the arithmetic sequence are: {10,5,0,−5,−10…}{10,5,0,-5,-10…} Take note that the nth term of an arithmetic series is an=a1+(n−1)dan=a1+(n-1)d . Since the first term a_1 is known…

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**MATH**

**4,32,−1,−724,32,-1,-72 Find a formula for a_n for the arithmetic sequence.**

4,3/2,-1,-7/2 a1=4a1=4 a2=32a2=32 So the common difference d=a2−a1a2-a1 d=32−4d=32-4 d=3−82d=3-82 d=−52d=-52 an=a1+(n−1)dan=a1+(n-1)d Plug in the values of a_1 and d in the above expression, an=4+(n−1)(−52)an=4+(n-1)(-52)…

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**MATH**

**a1=0,d=−23a1=0,d=-23 Find a formula for a_n for the arithmetic sequence.**

a1=0a1=0 d=−23d=-23 an=a1+(n−1)dan=a1+(n-1)d an=0+(n−1)(−23)an=0+(n-1)(-23) an=−2n+23an=-2n+23

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**MATH**

**a1=100,d=−8a1=100,d=-8 Find a formula for a_n for the arithmetic sequence.**

Given: a1=100,d=−8a1=100,d=-8 The formula for an arithmetic sequence is an=a1+(n−1)dan=a1+(n-1)d an=100+(n−1)(−8)an=100+(n-1)(-8) an=100−8n+8an=100-8n+8 an=−8n+108an=-8n+108

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**MATH**

**a1=15,d=4a1=15,d=4 Find a formula for a_n for the arithmetic sequence.**

Given: a1=15,d=4a1=15,d=4 The formula for an arithmetic sequence is an=a1+(n−1)dan=a1+(n-1)d an=15+(n−1)(4)an=15+(n-1)(4) an=15+4n−4an=15+4n-4 an=4n+11an=4n+11

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**MATH**

**a1=1,d=3a1=1,d=3 Find a formula for a_n for the arithmetic sequence.**

Given: a1=1,d=3a1=1,d=3 The formula for the arithmetic sequence is: an=a1+(n−1)dan=a1+(n-1)d an=1+(n−1)(3)an=1+(n-1)(3) an=1+3n−3an=1+3n-3 an=3n−2an=3n-2

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**MATH**

**an=(2n)nan=(2n)n Write the first 5 terms of the sequence. Determine whether the sequence is…**

an=(2n)nan=(2n)n a1=(21)(1)=2a1=(21)(1)=2 a2=(22)(2)=4(2)=8a2=(22)(2)=4(2)=8 a3=(23)(3)=8(3)=24a3=(23)(3)=8(3)=24 a4=(24)(4)=16(4)=64a4=(24)(4)=16(4)=64 a5=(25)(5)=32(5)=160a5=(25)(5)=32(5)=160 The sequence is not arithmetic because there is not a common…

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**MATH**

**an=(−1)n⋅3nan=(-1)n⋅3n Write the first 5 terms of the sequence. Determine whether the dequence is…**

The first five terms of this sequence are -3, 3/2, -1, 3/4, -3/5. No, this sequence is not an arithmetic one, because the differences between the adjacent terms are not all the same. For example,…

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**MATH**

**an=2n−1an=2n-1 Write the first 5 terms of the sequence. Determine whether the sequence is…**

an=2n−1an=2n-1 a1=21−1=20=1a1=21-1=20=1 a2=22−1=21=2a2=22-1=21=2 a3=23−1=22=4a3=23-1=22=4 a4=24−1=23=8a4=24-1=23=8 a5=25−1−24=16a5=25-1-24=16The sequence is not arithmetic because there is not a common difference…

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**MATH**

**an=(−1)nan=(-1)n Write the first 5 terms of the sequence. Determine whether the sequence is…**

The first five terms are -1, 1, -1, 1, -1. This sequence is not an arithmetic one because the differences between adjacent terms aren’t equal. This is a geometric sequence with the common ratio -1.

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**MATH**

**an=1+(n−1)4an=1+(n-1)4 Write the first 5 terms of the sequence. Determine whether the dequence…**

an=1+(n−1)4an=1+(n-1)4 a1=1+(1−1)4=1a1=1+(1-1)4=1 a2=1+(2−1)4=1+1(4)=5a2=1+(2-1)4=1+1(4)=5 a3=1+(3−1)4=1+2(4)=9a3=1+(3-1)4=1+2(4)=9 a4=1+(4−1)4=1+3(4)=13a4=1+(4-1)4=1+3(4)=13 a5=1+(5−1)4=1+4(4)=17a5=1+(5-1)4=1+4(4)=17 Let’s find the difference between the consecutive terms to check…

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**MATH**

**an=3−4(n−2)an=3-4(n-2) Write the first 5 terms of the sequence. Determine whether the dequence…**

The given formula of nth term of a sequence is: an=3−4(n−2)an=3-4(n-2)To solve for the first five terms of a sequence, plug-in the following values of n to the formula. For the first term, plug-in n=1….

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**MATH**

**an=100−3nan=100-3n Write the first 5 terms of the sequence. Determine whether the sequence is…**

The first five terms are 97, 94, 91, 88, 85. Yes, this is an arithmetic sequence because the difference between the (n+1)-th term and n-th term is a constant. It is -3 and this is the common…

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**MATH**

**an=5+3nan=5+3n Write the first 5 terms of the sequence. Determine whether the sequence is…**

The first five terms of this sequence are 8, 11, 14, 17, 20. Yes, this is an arithmetic sequence because the difference between (n+1)-th term and n-th term is a constant. This constant is the…

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**MATH**

**12,22,32,42,52…12,22,32,42,52… Determine whether the sequence is arithmetic. If so, find the…**

No, this sequence is not an arithmetic one because the difference between adjacent terms is not constant, for example a2−a1=22−12=3a2-a1=22-12=3 and a3−a2=32−22=5.a3-a2=32-22=5.

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**MATH**

No, this sequence an=ln(n)an=ln(n) is not an arithmetic one because the difference between the adjacent terms is not a constant. For example, a2−a1=ln2−ln1=ln2a2-a1=ln2-ln1=ln2 but a3−a2=ln3−ln2=ln(32)≠ln(2).a3-a2=ln3-ln2=ln(32)≠ln(2).

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**MATH**

The difference between the adjacent terms is a constant: 5.7 – 5.3 = 6.1 – 5.7 = 6.5 – 6.1 = 6.9 – 6.5 = 0.4. This constant, 0.4, is the common difference by definition. If the next terms follow…

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**MATH**

**94,2,74,32,5494,2,74,32,54 Determine whether the sequence is arithmetic. If so, find the…**

Given: 94,2,74,32,5494,2,74,32,54 The sequence is arithmetic. The common difference is -.25.

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**MATH**

**80,40,20,10,5,…80,40,20,10,5,… Determine whether the sequence is arithmetic. If so, find the…**

Given the sequence: 80, 40, 20, 10, 5 The sequence is not arithmetic. The difference between consecutive terms is not common.

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**MATH**

**1,2,4,8,161,2,4,8,16 Determine whether the sequence is arithmetic. If so, find the common…**

Given 1, 2, 4, 8, 16 The sequence is not arithmetic because the difference between consecutive terms is not common.

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**MATH**

**4,9,14,19,244,9,14,19,24 Determine whether the sequence is arithmetic. If so, find the common…**

4,9,14,19,244,9,14,19,24 A sequence is arithmetic when its terms continually increase or decrease by the same number called as the common difference. So, let’s find the common difference, a2−a1=9−4=5a2-a1=9-4=5…

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**MATH**

**10,8,6,4,210,8,6,4,2 Determine whether the sequence is arithmetic. If so, find the common…**

Given: 10, 8, 6, 4, 2 The sequence is arithmetic. The common difference between consecutive terms is -2. 8-10=-2 6-8=-2 4-6=-2 2-4=-2

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**SOCIAL SCIENCES**

**What is the relationship among culture, reality, and intergroup relations?**

When considering concepts like culture or reality, it’s important to remember that there is no universality. That means that there is no single culture or single reality; rather, each society and…

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**TO KILL A MOCKINGBIRD**

**What are some adjectives that describe Dolphus Raymond in “To Kill a Mockingbird”?**

A social pariah in Maycomb, Mr. Dolphus Raymond is non-compliant with the social mores of the white community, free-thinking, unbiased, somewhat misanthropic, gentle-natured, kind, observant,…

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**SCIENCE**

**In a beaker, sugar is dissolved in water, and then the water is heated and evaporates. The sugar…**

There are two types of basic changes in chemistry, physical and chemical. A physical change is simply a change in the form of a substance without any actual chemical bonds being broken or formed….

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**LITERATURE**

**What Is Eco-Criticism? Use Helon Habila’s novel Oil On Water as a textual example.**

Ecocriticism is a field of inquiry that first developed in the 1970s. It refers to the study of literature, and the arts generally, from an environmental perspective. There are two waves of…

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**THE SNIPER**

**Were you surprised by the ending of “The Sniper”?**

The surprise ending of Liam O’Flaherty’s short story “The Sniper” is meant to shock the reader and highlight the brutality of war, especially a civil war that matched countrymen against each other….

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**ROMEO AND JULIET**

**What are some character traits of Friar Laurence in Romeo and Juliet?**

Tragic innocence, betokened by his misplaced ‘faith’ in the workings of the quotidian world, not least his belief that his apothecary skills alone may prove curative of the ways and means of…

**THE MINISTER’S BLACK VEIL**

**In The Minister’s Black Veil, why did the minister’s reflection cause him to run into the darkness?**

The narrator tells us that when Mr. Hooper caught sight of his own reflection, just about to toast the happiness of the newly-married couple, he drops his wine on the ground and runs out into the…

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**A SOUND OF THUNDER**

**In “A Sound of Thunder,” when the time travelers return to the world of 2055, how was that…**

“A Sound of Thunder” describes the misadventure of a rich big-game hunter, Eckels, who has paid for a “time safari” – a trip to the distant past using a time machine, in order to hunt animals that…

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**TRIFLES**

**Are there any more reasons for Mrs. Hale and Mrs. Peters not to tell the men that they have…**

The primary reason that Mrs. Hale and Mrs. Peters withhold the evidence from the sheriff and the attorney is that they do not want it to be used to subject Mrs. Wright to an even more unjust trial…

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**I WANDERED LONELY AS A CLOUD**

**How does Wordsworth’s imagery or tone in “I Wandered Lonely as a Cloud” help convey his message…**

By identifying himself with the image of a cloud–“I wandered lonely as a cloud”– the poet emphasizes his oneness with nature. He pictures himself as part of the natural world, not separate from…

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**HISTORY**

**How does Equiano’s narrative compare to the following thesis: “According to Inikori, it is the…**

If you have read Olaudah Equiano’s (a.k.a., Gustavus Vassa) narrative, you know that he and his sister (who were later separated) were kidnapped by fellow Africans from their family home, in what…

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**1984**

**How does the Party gain control over the people in 1984?**

The Party gains control over people through constant surveillance, propaganda and thought control. In Oceania, Party members live with viewscreens that can never be shut off. These screens not…

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**THE MOST DANGEROUS GAME**

**Is the competition between Sanger Rainsford and General Zaroff fair?**

No, the competition between General Zaroff and Sanger Rainsford is not fair, except in the final scene. What is ironic about this situation is that previous to his accidental arrival on Ship-Trap…

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**THE GIVER**

**In The Giver, what bond did Jonas share with Gabriel?**

Jonas and Gabriel both have the Capacity to See Beyond. Gabriel is the newchild that Jonas’s father brings home. In Jonas’s community, newchildren are usually raised by nurturers until the age…

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**OF MICE AND MEN**

**Who is Curley and why would he pick on Lennie?**

In John Steinbeck’s Of Mice and Men, Curley is the boss’s son and is the novel’s main antagonist. He is a “thin young man with a brown face, with brown eyes and a head of tightly curled hair.” He…

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**THROUGH THE TUNNEL**

**How would the story “Through the Tunnel” change if it was told in first-person narration?**

For one, the story could not really exist as it is if it were told from Jerry’s mother’s first-person perspective. Because she is clearly unaware of the dangerous choices Jerry is making when…

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**THE GREAT GATSBY**

**In The Great Gatsby, is Owl Eyes at Gatsby’s funeral to judge the kind of person he was?**

In F. Scott Fitzgerald’s novel The Great Gatsby, Owl Eyes is one of three people to show up to Gatsby’s funeral, the other two being Nick Carraway, the narrator, and Gatsby’s estranged father….

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**AN OCCURRENCE AT OWL CREEK BRIDGE**

**In the story “An Occurrence at Owl Creek Bridge,” was Peyton Farquhar a good person?**

Whether you believe Peyton Farquhar was a good person or not may depend to some degree on whether you favor the cause of the Union or the cause of the Confederacy in the American Civil War. In Part…

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**AN OCCURRENCE AT OWL CREEK BRIDGE**

**Why does the Union scout pretend to be a Confederate soldier? Why does he try to get the planter…**

It was probably common practice for both the North and South armies to send scouts into enemy territory to look and listen. They would come back with whatever useful information they could obtain….

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**LITERATURE**

**What is the writer’s description of what happened at Wallingford in Three Men in a Boat?**

The narrator, J., actually tells two stories about Wallingford during the course of the book. The first one comes at the end of Chapter IX, when he remembers a previous boating outing with a…

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**REFERENCE**

**What should be omitted within a book summary?**

A summary is a synopsis of a story, book, or novel. A summary is not a complete paraphrasing of a text. Instead, a summary should aim to give the themes and/or main ideas and events of a piece of…

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**TO KILL A MOCKINGBIRD**

**In To Kill A Mockingbird, what happened when Boo came to save the children?**

After the pageant, Scout and Jem head home in the dark, but Jem thinks he hears someone following them. He pretends to think it’s just Cecil and tells Scout to take off her ham costume so they can…

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**SCIENCE**

**How many kinds of tissues are in the skeletal system?**

The skeletal system helps give structure, movement and protection to the bodies of animals with endoskeletons. It also functions in red blood cell production, storage of energy and storage of…

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**ROMEO AND JULIET**

**What gesture does Sampson make toward Abram in Romeo and Juliet?**

In the opening scene of Shakespeare’s Romeo and Juliet two servants from the House of Capulet are walking through the streets of Verona. They are suggesting different ways to insult their Montague…

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