Question

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.

4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = (4(4n+1)(8n +7))/(6)

Answer 1

put n=1 to LHS and RHS

LHS :
4*1(4*1+2) = 4 * 6 = 24

RHS :
4(4*1+1)(8*1 +7))/(6) = 4(5)(15)/6 = 50

because LHS not equal RHS, so it is false

Answer 2

thanks!

Answer 3

welcome