Question

Mathematical Induction:
12 + 42 + 72 + ... + (3n - 2)2 = quantity n times quantity six n squared minus three n minus one all divided by two

Answer 1

how would you start it ??
what is the first step ?

Answer 2

\[12 + 42 + 72 + ... + (3n - 2)^2=\frac{ n(6n^2 -3n-1)}{ 2 }\]
check if the statement is true for n=1
substitute all n's for 1
and then 2nd) step, assume that the statement is true for n=k (assumption)
substitute n for k
3rd) step,based on the assumption prove that the statement is also true for n= k+1
substitute n for k+1

Answer 3

HI!!

Answer 4

have you ever done a proof by induction before?