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MHT CET2019Morning ShiftMathematicsSequences and SeriesActual

For a sequence t n , if S n = 5 2 n - 1 then t n = …

Options

  1. A5 2 n + 1
  2. B5 × 2 n 4
  3. C5 2 n - 1
  4. D2 × 2 n - 1 5

Correct answer

C. 5 2 n - 1

Step-by-step solution

We have, S n = 5 2 n - 1 We know that a n = S n - S n - 1 = 5 2 n - 1 - 5 2 n - 1 - 1 = 5 2 n - 2 n - 1 = 5 2 n - 1

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