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2 January, 12:00

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?

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  1. 2 January, 14:59
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    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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