Sequence and Series - Problems involving inequalities

Sequence and Series - Problems involving inequalities

In a geometric series, \(u_1 = \frac{1}{81}\) and \(u_4 = \frac{1}{3}\)

  1. Find the value of \(r\).
  2. Find the smallest value of \(n\) for which \(S_n > 40\).

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Answer:(a) \(r=3\) (b) \(n=8\)

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