mathematical induction

Question

lovelyharmonics · Answer

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

amistre64 · Answer

is it true for the basis step?

lovelyharmonics · Answer

whats a basis step? .-.

amistre64 · Answer

.... the first step in a mathematical induction proof of course.  you may want to review your material.

lovelyharmonics · Answer

you mean base? not basis.... and it would be false since 24 dosent=50

amistre64 · Answer

then youve shown that the conjecture is false ... whats left to do?

lovelyharmonics · Answer

i have to show steps

amistre64 · Answer

then show why 24 doesnt equal 50 ...

lovelyharmonics · Answer

okay... i have to show why and all i did was multiply and im pretty sure thats not what shes looking for so is there another smart peoples way of doing this?

amistre64 · Answer

let n=1, and show that its a false statement ... therefore it is not true for ALL positive integers.  If you dont think that is sufficient, then youll have to ask whoever is grading it why it is not sufficient.