I'm working on Mathematical Induction right now.

3 + 3 * 5 + 3 * 5^2 + ... + 3 * 5^n = 3(5 ^ n - 1)/4


When I did P(1) it came up as 18 on both sides, but I'm completely lost on how to handle the inductive step. Do I just run the whole things with k + 1 instead of n?

Assume the inductive hypothesis p(k) then use it to show p(k+1)

For a lot of the algebra based ones you expand out to the k+1th term and just algebra it back into the right hand side but instead of n to (k+1)



This post was edited by brigadier on Mar 28 2019 02:36pm

I know it's a little late, but here's the solution if you or anyone else was wondering

Bro you think this is harder than Calc 2 or Diff Equations....?

Lol ??

well done