SOLUTION: Find the partial sum Sn of the geometric sequence that satisfies....1+4+16+64...+262144

Question 245906: Find the partial sum Sn of the geometric sequence that satisfies....1+4+16+64...+262144
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the partial sum Sn of the geometric sequence that satisfies....1+4+16+64...+262144
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Note: d = 3
Need to find "n"
a(n) = a(1)+(n-1)d
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262144 = 1 + (n-1)3
262143 = 3n-3
262146 = 3n
n = 87382
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So there are 87382 terms in the sequence.
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S(n) = (n/2)(a(1)+a(n))
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S(87382) = (87382/2)(1+262144)
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I'll let you do the arithmetic.
Cheers,
Stan H.

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