Question

Which geometric series converges ? I still don’t understand . Can someone explain the answer and WHY !

Answer 1

Answer:

B

Step-by-step explanation:

A geometric series will only converge if the common ratio r meets the requirement

- 1 < r < 1

The n th term of a geometric sequence is

$a_{n}$ = a$r^{n-1}$

where a is the first term and r the common ratio

All terms inside the summation are of this form

The only one with - 1 < r < 1 is B where r = $\frac{3}{4}$ = 0.75