Question

Evaluate the geometric series. Help me!!

Answer 1

Answer:

255

Step-by-step 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

$S_{n}$ = $\frac{a(r^n-1)}{r-1}$, thus

$S_{8}$ = $\frac{1(2^8-1)}{2-1}$

    = $2^{8}$ - 1 = 256 - 1 = 255