SOLUTION: If the second term is 1/2 and the seventh term of a geometric progression is 1/64 find the 10th term

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Question 826124: If the second term is 1/2 and the seventh term of a geometric progression is 1/64 find the 10th term
Answer by stanbon(75887) About Me  (Show Source):
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If the second term is 1/2 and the seventh term of a geometric progression is 1/64 find the 10th term
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2nd term:: ar = 1/2
7th term:: ar^6 = 1/64
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Divide to solve for "r":
r^5 = 2^-5
r = 2^-1
r = 1/2
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Solve for "a"
ar = 1/2
a(1/2) = 1/2
a = 1
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Ans: a(n) = (1/2)^(n-1)
So, a(10) = (1/2)^9 = 1/512
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Cheers,
Stan H.
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