Given the geometric series 1/6 + 1/36 + 1/216+ ..., what is the common ratio r?

2 Answers
Jun 7, 2017

1/6

Explanation:

r is the common ratio in the geometric series--in other words, it is what you multiply the nth term to get the n+1 term.

So,

1/6r=1/36

r=1/6

Jun 7, 2017

r = frac(1)(6)

Explanation:

To find the common ratio of any geometric series, we must find the quotient of any two consecutive terms:

Rightarrow r = frac(1)(36) div frac(1)(6)

Rightarrow r = frac(1)(36) times frac(6)(1)

therefore r = frac(1)(6)

Therefore, the common ratio r of the geometric series is frac(1)(6).