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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Arithmetic Progression and Geometric Progression

How many terms of the arithmetic progression 7, 11, 15, ... are less than 100?

24 terms are less than 100. The nth term is 7 + (n-1) x 4 = 4n + 3. Requiring 4n + 3 < 100 gives n < 24.25, so the largest whole n is 24, and the 24th term is 99.

  1. A24Correct
  2. B23
  3. C25
  4. D22

Explanation

Here a = 7 and d = 4, so the nth term is 4n + 3. We need 4n + 3 < 100, so n < 24.25, giving n = 24. The 24th term is 99, which is less than 100. Option 25 wrongly rounds up.

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