Question

What is the value of s4

Answer 1

ANSWER

$S_4 = \frac{208}{375}$

EXPLANATION

The given series is:

$\sum_{n=1}^{\infty} \frac{2}{3} ( - { \frac{1}{5} })^{n - 1}$

When n=1, the first term is

$a = \frac{2}{3}$

The sum of terms of a geometric sequence is given by the formula;

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

The sum of the first 4 terms is:

$S_4= \frac{ \frac{2}{3} {(1 - { ( - \frac{1}{5} )}^{4} )} }{1 - - \frac{1}{5} }$

$S_4 = \frac{208}{375}$

Answer 2

Answer:

its c

Step-by-step explanation:

i just did it on edge 2020