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AP EAMCET202419 May 2024Evening ShiftMathematicsSequences and SeriesActual

2.5+5.9+8.13+11.17+ to 10 terms =

Options

  1. A3355
  2. B4555
  3. C1375
  4. D1380

Correct answer

B. 4555

Step-by-step solution

Let S=2.5+5.9+8.13+ .+ to 10 terms aligned & S= _ n=1 ¹⁰(3 n-1) (4 n+1)=12 _ n=1 ¹⁰ n^2- _ n=1 ¹⁰ n- _ n=1 ¹⁰ 1 & S=4620-55-10=4555 . aligned

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