Engineering Board Exam Reviewer · Sequences and Series · medium

The 8th term of an arithmetic progression is 12 and the 39th term is 43. What is the sum of the first 30 terms?

  1. 585
  2. 475
  3. 805
  4. 625

Answer

A. 585

Solution

d = 43-12/39-8 = 1, so a1 = 12-7(1) = 5. Sum of the first 30 terms = 30/2(2(5)+29(1)) = 15(39) = 585.

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