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Manipal MET2021MathematicsSequences and Series

The sum of the series 0.2+0.004+0.00006+0.0000008+ is

Options

  1. A200 891
  2. B2000 9801
  3. C1000 9801
  4. DNone of these

Correct answer

B. 2000 9801

Step-by-step solution

Sum = 2 10 + 4 10^3 + 6 10^5 + 8 10^7 + It is an arithmetic-geometric series. aligned & S- S 10^2 = 2 10 + 2 10^3 + 2 10^5 + & 99 S 100 = 20 99 S= 2000 9801 aligned

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