PLEASE HELP! MEDAL WILL BE REWARDED!
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

Very Confused!!!! Thank you for the help in advance!

Question

PLEASE HELP! MEDAL WILL BE REWARDED! 
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

Very Confused!!!! Thank you for the help in advance!

anonymous · Answer

its 0

sirm3d · Answer

check first when $n=1$

anonymous · Answer

I know the thesis is 1^2 +...+(3n-2)^2 + (3n+1)^2 = ((n+1)(6n^2+9n+2))/2

sirm3d · Answer

whoa, how is that connected to the problem you posted?

anonymous · Answer

i supposed that n>1, should u have done n=1? bc then i am totally screwed up

anonymous · Answer

oh my bad, wrong problem! that is for the second problem i have which i totally figured out its just this one i need to look at