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Consider the series 1/3+1/9+1/27+1/81+.... The first four partial sums are S1 = 1/3, S2 = 4/9, S3 = 13/27, S4 = 40/81. Determine the numerator
Consider the series 1/3+1/9+1/27+1/81+.... The first four partial sums are S1 = 1/3, S2 = 4/9, S3 = 13/27, S4 = 40/81. Determine the numerator of the nth partial sum Sn = ???/3^n. What can you say about the series? Explain!
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