S1ari5ballinGwy S1ari5ballinGwy

21-12-2016
Mathematics

Answered

The second term in a geometric sequence is 20. The fourth term in the same sequence is 45/4, or 11.25. What is the common ratio in this sequence?

Verified Answer :

MissPhiladelphia MissPhiladelphia

22-12-2016

We use equations for geometric sequence. We do as follows:

a(n) = a(1) r^(n-1)

20 = ar^(2-1)
20 = ar
a = 20/r

11.25= ar^(4-1)
11.25 = ar^3
11.25 = (20/r)r^3
r = 0.75

Hope this answers the question. Have a nice day.

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victoriachadwick1250 victoriachadwick1250

18-06-2019

Answer:

0.75

Step-by-step explanation:

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