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MHT CET202013 Oct 2020Evening ShiftMathematicsSequences and SeriesActual

If for the harmonic progression, t₇= 1 10 , t₁₂= 1 25 , then t₂₀=

Options

  1. A1 48
  2. B49
  3. C1 49
  4. D48

Correct answer

C. 1 49

Step-by-step solution

First term of an AP =10 and the 12^ th term =25 . Considering corresponding AP a+6 d=10 and a+11 d=25 d=3, a=-8 T₂₀=a+19 d=8+57=49 Hence, the 20^ th term of the corresponding HP is 1 / 49 .

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