Question

Evaluate the geometric series. Help me!!

Answer 1

255

Explanation:

The n th term of a geometric series is

`a_(n)` = a
`(r)^(n-1)`

where a is the first term and r the common ratio

1
`(2)^(n-1)` ← is the n th term

with a = 1 and r = 2

The sum to n terms of a geometric series is

`S_(n)` =
`(a(r^n-1))/(r-1)`, thus

`S_(8)` =
`(1(2^8-1))/(2-1)`

=
`2^(8)` - 1 = 256 - 1 = 255