Question 971889
Find x if the sequence 8, x, (5/2)x is geometric.
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If a sequence is "geometric" there is a "common ratio" that is used that is the multiplier from one term to the next.  In this case that "common ratio" is 5/2.
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Therefore, to get from 8 to x we have:
8(5/2) = x
4(5) = x
20 = x
so, x is 20