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In an AP of monthly sales (in thousands), the 5th term is 0.
Prove numerically: what is the ratio of the 11th term to the 23rd term, given the common difference is non-zero?

Class 10AP Word ProblemsAlgebra — Sequences
  • A1 : 3
  • B1 : 2
  • C2 : 3
  • D3 : 5

Step-by-Step Solution

a5 = a + 4d = 0, so a = -4d. a11 = a + 10d = 6d. a23 = a + 22d = 18d. Ratio a11 : a23 = 6d : 18d = 1 : 3.
Answer: A) 1 : 3

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