Q44 / 120 · NDA 2024 (Phase 2) · Mathematics

Paragraph: The product of 5 consecutive terms of an AP is 229635 . The first, second and fifth terms are in GP.
Question: What is the sum of all five terms?

  • A
    $60$
  • B
    $65$
  • Correct answer
    C
    $75$
  • D
    $80$

Solution

Using the value of d in equation (ii), we have, $5 \times 6=2 a \Rightarrow a=15$ $\therefore \quad$ The required terms of A.P. are $3,9,15,21,27$. So, required sum $=3+9+15+21+27=75$.

Hence, the correct answer is option: 'C'.

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