# Question: prove through math induction a0 a1 a2 ...

###### Question details

Prove through math induction:

a^0 + a^1 + a^2 + .... + a^n= (1-(a^n+1))/(1-a)

The first expression, using a = 2 and n = 4, would be:

2^{0}+2^{1}+2^{2}+2^{3}+2^{4}
= 1+2+4+8+16 = 31

The second expression, using a = 2 and n = 4, would be:

(1-2^{4+1})/(1-2) =
(1-2^{5})/-1 = (1-32)/-1 = -31/-1 = 31

a) What is your hypotheses for using the induction step

b) Complete the induction steps