SOLUTION: find the 9th term of a geometric progression whose 4th and 7th terhs are -4 and 256 respectively
Algebra.Com
Question 751099: find the 9th term of a geometric progression whose 4th and 7th terhs are -4 and 256 respectively
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the 9th term of a geometric progression whose 4th and 7th terhs are -4 and 256 respectively
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Equations:
ar^(6) = 256
ar^(3) = -4
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Divide to get:
r^3 = -64
r = -4
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Solve for "a":
ar^3 = -4
a(-64) = -4
a = 1/4
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Equation:
a(n) = (1/4)(-4)^(n-1)
a(9) = (1/4)(-4)^8 = (1/4)65536 = 16384
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Cheers,
Stan H.
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