Question

The first term in a geometric series is 5 and the common ratio is 2.
Find the sum of the first 10 terms in the series.

Answer 1

Answer:

5115

Step-by-step explanation:

The sum to n terms of a geometric series is

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

where a is the first term and r the common ratio

Here a = 5 and r = 2, thus

$S_{10}$ = $\frac{5((2)^{10}-1) }{2-1}$ = 5 × (1024 - 1) = 5 × 1023 = 5115