If the second term in a geometric sequence is 20 and the fourth term is 11.25, what is the common ratio

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04-08-2017
Mathematics

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If the second term in a geometric sequence is 20 and the fourth term is 11.25, what is the common ratio

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balindawmcdotlzzo balindawmcdotlzzo · Answer 1 · 2017-08-04T14:44:55+02:00

balindawmcdotlzzo balindawmcdotlzzo

04-08-2017

So between the second and fourth term, you are multiplying by r².
20 * r² = 45/4
r² = 45/80
r² = 9/16
r = √(9/16)
r = ± (3/4)

So there are two possible common ratios:
r = -3/4
or
r = 3/4

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