If a_ 1 , a_ 2 , a_ 3 , a_ n are in H.P then a_ 1 a_ 2 +a_ 3 + +a_ n a_ 2 a_ 1 +a_ 3 +…
Mathematics · JEE Main · NTA Exams — Progression and Series
If \(a_{1}, a_{2}, a_{3}, \ldots a_{n}\) are in H.P then
\(\frac{a_{1}}{a_{2}+a_{3}+\ldots+a_{n}} \cdot \frac{a_{2}}{a_{1}+a_{3}+\ldots+a_{n}} \cdot \frac{a_{3}}{a_{1}+a_{2}+a_{4}+\ldots+a_{n}} \ldots \frac{a_{n}}{a_{1}+a_{2}+\ldots+a_{n}}\)
are in
- A.P.
- G.P.
- H.P.
- A.G.P.
Answer
(C) H.P.
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