If a_ k a_ k-1 +a_ k-1 a_ k-2 =2 a_ k a_ k-2 , k 3 and here S_ p = _ k=1 ^ p 1 a_ k and…

Mathematics · JEE Main · NTA Exams — Progression and Series

If \(a_{k} a_{k-1}+a_{k-1} a_{k-2}=2 a_{k} a_{k-2}, k \geq 3\) and here \(S_{p}=\sum_{k=1}^{p} \frac{1}{a_{k}}\) and given that \(\frac{S_{2 p}}{S_{p}}\) does not depend on p. Find the value of \(\frac{1}{a_{16}}(\neq 1) .\)

1. \(30\)
2. \(31\)
3. \(32\)
4. \(33\)

Answer

(B) 31

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