Question

If 2 + 2^2 + 2^3 +...+ 2^n = 510 then n = ?

Answer 1

N= 8

Explanation:

Answer 2

n = 8

Explanation:

This Geometric series. r = 2 and a = 2

`S_(n)= (a(r^(n)-1))/(r-1)\\\\\\(2(2^(n)-1))/(2-1)=510\\\\(2*(2^(n)-1))/(1)=510\\\\2*(2^(n)-1) = 510\\\\2^(n-1)=(510)/(2)\\\\2^(n) - 1 = 255\\\\2^(n)=255+1\\\\2^(n) = 256\\\\2^(n) =2^(8)`

n = 8