Mathematics

Mathematics

Problem

The least value of nn in order that the sum of first nn terms of the infinite series 1+34+(34)2+(34)3+…1 + \frac{3}{4} + \left(\frac{3}{4}\right)^2 + \left(\frac{3}{4}\right)^3 + \dots , should differ from the sum of the series by less than 10−610^{-6} , is (given, log⁡2=0.30103,log⁡3=0.47712\log 2 = 0.30103, \log 3 = 0.47712 ) a. 14 b. 27 c. 53 d. 57

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