SOLUTION: A G.P. Is such that the third term is 9 times the first term, while the 2nd term is one-twenty fourth of the 5th term. Find its 4th term?
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Question 770720: A G.P. Is such that the third term is 9 times the first term, while the 2nd term is one-twenty fourth of the 5th term. Find its 4th term? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A G.P. Is such that the third term is 9 times the first term, while the 2nd term is one-twenty fourth of the 5th term. Find its 4th term?
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Form: a(n) = a*r^(n-1)
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a(3) = a*r^2 = 9a
a(2) = a*r = (1/24)[ar^4]
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4th term = ar^3 = (ar^2)r = 9a*r
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So, (1/24)(ar^4) = 9ar
ar^4 = 9/24
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a(4) = (9/24)r
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Cheers,
Stan H.
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