Question

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.

Answers

Reiny
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\
Reiny
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

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