Question

Simplify (4^(n+1))-(4^n)

Answer 1

It's been a while since I've done maths, I have found that the answer is 3x4^n but I don't know how to get there

Answer 2

\[4^{n+1}-4^{n}\]

Answer 3

Wolfram Alpha says the answer is \[3 \times 4^{n}\]

Answer 4

hint : \(\large 4^{n+1} = 4^n \times 4^1\)

Answer 5

I see absolutely no way of getting 3 from that o_0

Answer 6

oh wait...

Answer 7

yes :) stare at it som more time :)

Answer 8

Wouldn't it be 4 x 4^n then?

Answer 9

4^1= 4

Answer 10

good going so far humm

Answer 11

Why did wolfram alpha say the answer was 3 x 4^n?

Which answer is right?

Answer 12

Wolfram alpha output for reference: http://www.wolframalpha.com/input/?i=simplify+%284^%28n%2B1%29%29-%284^n%29

Answer 13

oooops, I forgot the second part

Answer 14

\(4^{n+1} = 4^n \times 4^1 = 4\times 4^n\)

Answer 15

yes, subtract the second part