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## Homework Statement

I am working on a mathematical induction problem, where I need to prove:

(1 - (-7) ^ (k + 2)) / 4

## Homework Equations

(1 - (-7) ^ (k + 1)) / 4 + 2(-7) ^ (k + 1)

## The Attempt at a Solution

So I just need to add the two items in section two above. Now I know I need a common denominator (4):

(1 - (-7) ^ (k + 1)) / 4 + 8(-7) ^ (k + 1) / 4

Unfortunately, I don't know how to progress any further. I don't know how to add the above together. Could someone please provide a few hints to move me along?

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