Proving by Induction: Solving for f(n) Using a Hypothesis

[Gear2d]

Homework Statement

I am not sure if this is the right spot to post this, but how would I go about proving this by induction:

f(n) = { 6, n=1
5n+1, otherwise

Homework Equations

The Attempt at a Solution

Base case:

n=1, 5(1) + 1 = 6


Induction Hypothesis:

6 + 11 + 16 + ... + k = 5k + 1

now put k+1 in for k and get 5(k+1) +1 = 5k + 6

after this I am lost.

 

[Defennder]

? I don't understand what you're trying to prove. What is f(n) supposed to be such that you can write it in such a manner?