Question

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

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

Answer 1

after the equal sign its supposed to say
\[\frac{ 4(4n+1)(8n+7) }{ 6 }\]

Answer 2

is it true for n=1?

Answer 3

does:

4(6) = 4(5)(15)/6 ?

Answer 4

no

Answer 5

then this is not true for ALL postive integers is it?

Answer 6

no it isnt

Answer 7

so we have proved it false :)

Answer 8

sweet! thanks

Answer 9

youre welcome