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29 votes
Find the common ratio of the geometric sequence:3/16, 1/4, 1/3, ...

User BenDundee
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1 Answer

10 votes
10 votes

The common ratio, r = (1/4)/(3/16)

= (1/4)(16/3)

= 4/3

OR

(1/3)/(1/4) = (1/3)(4/1)

= 4/3

The common ratio of a geometric sequence is the ratio of any two consecutive terms.

Suppose we are given a geometric sequence: a1, a2, a3, ...

The common ratio is given as:

a2/a1 = a3/a2 = ...

User Ryanqy
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3.2k points