Math

please show me how to do this...
A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work.��Sn:   12 + 42 + 72 + . . . + (3n - 2)2 = n(6n^2-3n-1)/2

Also, please show me how to prove the statements are true.

1. 👍 0
2. 👎 0
3. 👁 177
1. 12 + 42 + 72 + . . . + (3n - 2)2 = n(6n^2-3n-1)/2

by induction:
1. show it to be true for n = 1
LS = 12\

1. 👍 0
2. 👎 0
posted by Reiny
2. not on my usual computer, and hit the wrong return key

LS = 12
RS = 1(6-3-1)/2
= not = LS

I assume your general term is (3n-2)^2
which produces the sequence:
1 + 16 + 49 + ...

1. 👍 0
2. 👎 0
posted by Reiny

Similar Questions

1. Algebra II

In an induction proof of the statement 4+7+10+...+(3n-1)=n(3n+5)/2 the first step is to show that the statement is true for some integers n. Note:3(1)+1=1[3(1)+5]/2 is true. Select the steps required to complete the proof. A)Show

asked by Jon on December 15, 2007
2. math

1)Find the third iterate x3 of f(x)=x2-4 for an initial value of x0=2 A)-4 B)4 C)12 D)-12 I chose C 2)Use Pascal's triangle to expand:(w-x)5 This ones long so I chose w5-5w4x+10w3x3-10w2x4+5wx4-x5 3)Use the binomial Theorem to

asked by Jon on December 13, 2007
3. pre-calc

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work. Sn: 1^2 + 4^2 + 7^2 + . . . + (3n - 2)^2 = (n(〖6n〗^2-3n-1))/2

asked by Ciara on April 16, 2015
4. pre calculos

A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely. Show your work. Sn: 1 ∙ 2 + 2 ∙ 3 + 3 ∙ 4 + . . . + n(n + 1) = [n(n + 1)(n + 2)]/3

asked by allexelle on October 9, 2015

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Sn:   2 is a factor of n2 + 7n Could you please show your work? I want to know how to solve.

asked by Hello on March 7, 2016
6. pre calc

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work. Sn: 2 is a factor of n2 + 7n

asked by allexelle on October 9, 2015
7. pre calc

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work. Sn: 2 is a factor of n2 + 7n

asked by allexelle on October 10, 2015
8. pre-calc

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work. Sn:   2 is a factor of n^2 + 7n

asked by cam on May 4, 2017
9. Math

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work. Sn:   2 is a factor of n2 + 7n

asked by Anonymous on March 4, 2016
10. maths

the non- decreasing sequence of odd integers {a1, a2, a3, . . .} = {1,3,3,3,5,5,5,5,5,...} each positive odd integer k appears k times. it is a fact that there are integers b, c, and d such that, for all positive integers n, añ =

asked by fui on November 11, 2016
11. Math

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work. Sn:    2 + 5 + 8 + . . . + ( 3n - 1) = n(1 + 3n)/2

asked by Crystal on March 4, 2016

More Similar Questions