Which of the following represents a geometric series (remember what a series is as opposed to a sequence)? 3 + 9 + 15 + ... 3 + 9 + 27 + ... 3, 9, 27, ... 3, 9, 15, ...

Question

asked Dec 18, 2020 108k views

2 Answers

TheNavigat · Answer 1 · 2020-12-25T08:31:56+0000

Answer:

3 + 9 + 27 + ...

Explanation:

3 + 9 + 15 + ... is not a geometric series because it has no common ratio.

$(15)/(9)\\e (9)/(3)$

3 + 9 + 27 + ... is a geometric series because there is a common ratio;

r=(27)/(9)=(9)/(3)=3

3, 9, 27, ... is a geometric sequence and not a series. The sum of all the terms in a geometric sequence forms a geometric series.

3, 9, 15, ... is a not a geometric series.