Multiple choice

Sum of the series $3+7+14+24+37+....10$ terms is

  1. 560

  2. 570

  3. 580

  4. none of these

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B Correct answer
Explanation

The sequence is 3, 7, 14, 24, 37. Differences are 4, 7, 10, 13. This is an arithmetic progression of differences. The n-th term a_n = a_1 + sum(d_i). Summing the series for 10 terms gives 570.