please show me how to do this...

Question

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.

Answer 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\

Answer 2

not on my usual computer, and hit the wrong return key

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

check your typing,
I assume your general term is (3n-2)^2
which produces the sequence:
1 + 16 + 49 + ...
which is not your series