473,396 Members | 2,013 Online
Bytes | Software Development & Data Engineering Community
Post Job

Home Posts Topics Members FAQ

Join Bytes to post your question to a community of 473,396 software developers and data experts.

please help

4
I need to write a program to find the sum, sum of squares, sum of the cubes, and sum of a certain series shown below for the first n integers, begining with 1 and ending with n = 100.

Summing the first 100 natural numbers:

................................. n(n+1)
1 + 2 + 3 + ..... + n = ----------
....................................... 2

Sum of squares of the first 100 natural numbers:
...................................... n(n+1)(2n+1)
1² + 2² + 3² + ……. n² = -------------------
.................................................. 6

Sum of cubes of the first 100 natural numbers:

............................................. n² (n + 1)²
1³ + 2³ + 3³ + ……. + n³ = --------------
.................................................. 4

Another series:

...1........... 1............ 1........................ 1............... n
------- + ------- + ---------- + .......... ---------- = .....--------
(1 * 2)... (2 * 3).... (3 * 4).............. n*(n+1) ........... n +1

Since all of these series involve summing the same number of terms, do all of the summing inside ONE(1) loop. Compute the formats outside the loop. Use n as a variable in the formulas; do not replace it with 100, because the formulas work for any n and the program should be flexible enough to easily change the number of terms.
Nov 14 '06 #1
2 2243
r035198x
13,262 8TB
I need to write a program to find the sum, sum of squares, sum of the cubes, and sum of a certain series shown below for the first n integers, begining with 1 and ending with n = 100.

Summing the first 100 natural numbers:

................................. n(n+1)
1 + 2 + 3 + ..... + n = ----------
....................................... 2

Sum of squares of the first 100 natural numbers:
...................................... n(n+1)(2n+1)
1² + 2² + 3² + ……. n² = -------------------
.................................................. 6

Sum of cubes of the first 100 natural numbers:

............................................. n² (n + 1)²
1³ + 2³ + 3³ + ……. + n³ = --------------
.................................................. 4

Another series:

...1........... 1............ 1........................ 1............... n
------- + ------- + ---------- + .......... ---------- = .....--------
(1 * 2)... (2 * 3).... (3 * 4).............. n*(n+1) ........... n +1

Since all of these series involve summing the same number of terms, do all of the summing inside ONE(1) loop. Compute the formats outside the loop. Use n as a variable in the formulas; do not replace it with 100, because the formulas work for any n and the program should be flexible enough to easily change the number of terms.
What have got so far?
Nov 14 '06 #2
unless and untill you start something no one is going to help you. You try first and then ask if you have any queries.
Nov 14 '06 #3

Sign in to post your reply or Sign up for a free account.

Similar topics

0
by: Kurt Watson | last post by:
I’m having a different kind of problem with Hotmail when I sign in it says, "Web Browser Software Limitations Your Current Software Will Limit Your Ability to Use Hotmail You are using a web...
7
by: x muzuo | last post by:
Hi guys, I have got a prob of javascript form validation which just doesnt work with my ASP code. Can any one help me out please. Here is the code: {////<<head> <title>IIBO Submit Page</title>...
7
by: tyler_durden | last post by:
thanks a lot for all your help..I'm really appreciated... with all the help I've been getting in forums I've been able to continue my program and it's almost done, but I'm having a big problem that...
23
by: Jason | last post by:
Hi, I was wondering if any could point me to an example or give me ideas on how to dynamically create a form based on a database table? So, I would have a table designed to tell my application...
13
by: Joner | last post by:
Hello, I'm having trouble with a little programme of mine where I connect to an access database. It seems to connect fine, and disconnect fine, but then after it won't reconnect, I get the error...
1
by: David Van D | last post by:
Hi there, A few weeks until I begin my journey towards a degree in Computer Science at Canterbury University in New Zealand, Anyway the course tutors are going to be teaching us JAVA wth bluej...
1
PEB
by: PEB | last post by:
POSTING GUIDELINES Please follow these guidelines when posting questions Post your question in a relevant forum Do NOT PM questions to individual experts - This is not fair on them and...
0
by: 2Barter.net | last post by:
newsmail@reuters.uk.ed10.net Fwd: Money for New Orleans, AL & GA Inbox Reply Reply to all Forward Print Add 2Barter.net to Contacts list Delete this message Report phishing Show original
6
by: jenipriya | last post by:
Hi all... its very urgent.. please........i m a beginner in oracle.... Anyone please help me wit dese codes i hv tried... and correct the errors... The table structures i hav Employee (EmpID,...
5
by: tabani | last post by:
I wrote the program and its not giving me correct answer can any one help me with that please and specify my mistake please it will be highly appreciable... The error arrives from option 'a' it asks...
0
by: Charles Arthur | last post by:
How do i turn on java script on a villaon, callus and itel keypad mobile phone
0
by: emmanuelkatto | last post by:
Hi All, I am Emmanuel katto from Uganda. I want to ask what challenges you've faced while migrating a website to cloud. Please let me know. Thanks! Emmanuel
0
BarryA
by: BarryA | last post by:
What are the essential steps and strategies outlined in the Data Structures and Algorithms (DSA) roadmap for aspiring data scientists? How can individuals effectively utilize this roadmap to progress...
1
by: Sonnysonu | last post by:
This is the data of csv file 1 2 3 1 2 3 1 2 3 1 2 3 2 3 2 3 3 the lengths should be different i have to store the data by column-wise with in the specific length. suppose the i have to...
0
marktang
by: marktang | last post by:
ONU (Optical Network Unit) is one of the key components for providing high-speed Internet services. Its primary function is to act as an endpoint device located at the user's premises. However,...
0
Oralloy
by: Oralloy | last post by:
Hello folks, I am unable to find appropriate documentation on the type promotion of bit-fields when using the generalised comparison operator "<=>". The problem is that using the GNU compilers,...
0
by: Hystou | last post by:
Overview: Windows 11 and 10 have less user interface control over operating system update behaviour than previous versions of Windows. In Windows 11 and 10, there is no way to turn off the Windows...
0
tracyyun
by: tracyyun | last post by:
Dear forum friends, With the development of smart home technology, a variety of wireless communication protocols have appeared on the market, such as Zigbee, Z-Wave, Wi-Fi, Bluetooth, etc. Each...
0
agi2029
by: agi2029 | last post by:
Let's talk about the concept of autonomous AI software engineers and no-code agents. These AIs are designed to manage the entire lifecycle of a software development project—planning, coding, testing,...

By using Bytes.com and it's services, you agree to our Privacy Policy and Terms of Use.

To disable or enable advertisements and analytics tracking please visit the manage ads & tracking page.