SOLUTION: Find the sum of the geometric series: 1+ sqrt6+ 6+...+7766

Question 540590: Find the sum of the geometric series: 1+ sqrt6+ 6+...+7766
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the sum of the geometric series:
1+ sqrt6+ 6+...+7766
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S(n) = a[(1-r^n)(1-r)]
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Determine r and n
r = sqrt(6)/1 = sqrt(6)
n = ?
Solve (sqrt(6))^n = 7766 for "n":
n = log(7766)/(log(sqrt(6)) = 10
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S(11) = 1[(1-(sqrt(6))^11)/(1-sqrt(6)) = 19046.2322/1.4495 = 13,140
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Cheers,
Stan H.
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