Question

Evaluate the geometric series. I need help please!!

Answer 1

Answer:

4092

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

4$(2)^{n-1}$ ← is the n th term

with a = 4 and r = 2

The sum to n terms of an arithmetic series is

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

$S_{10}$ = $\frac{4(2^{10}-1) }{2-1}$

     = 4(1024 - 1) = 4 × 1023 = 4092