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# I would be thankful for any help!!

 P: 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 Replies

 Expert 100+ P: 1,510 implement the program one section at a time, i.e. first Summing the first 100 natural numbers: 1 + 2 + 3 + ..... + n = n(n+1) / 2 an algorithm is Expand|Select|Wrap|Line Numbers sum=0 for i=1 to 100      sum = sum + i print sum   when that is working add the code for the next section, etc do you also have to prove the sum = n(n+1) / 2 Nov 14 '06 #2

 P: 4 implement the program one section at a time, i.e. first Summing the first 100 natural numbers: 1 + 2 + 3 + ..... + n = n(n+1) / 2 an algorithm is Expand|Select|Wrap|Line Numbers sum=0 for i=1 to 100      sum = sum + i print sum   when that is working add the code for the next section, etc do you also have to prove the sum = n(n+1) / 2 No I dont hve to......... But im So lost please help :( Nov 14 '06 #3