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  • Find the smallest number in a GP whose sum is 38 and prod...
Multiple choice general knowledge math & puzzles

Find the smallest number in a GP whose sum is 38 and product 1728

  1. 12

  2. 20

  3. 6

  4. 8

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the terms be a/r, a, ar. Product: a^3 = 1728, so a = 12. Sum: 12/r + 12 + 12r = 38. Solving 12/r + 12r = 26 gives 6r^2 - 13r + 6 = 0. Roots are 3/2 and 2/3. The terms are 8, 12, 18. Smallest is 8.

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