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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
Let a,b,c,da, b, c, d and ee be distinct positive numbers. If a,ba, b, and 1c,1d,1e\frac{1}{c}, \frac{1}{d}, \frac{1}{e} both are in A.P. and b,c,db, c, d are in G.P., then
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Correct option: A
a,ca, c, ee are in G.P.
Option A (a,c,ea, c, e are in G.P.) is correct because, from the given conditions, we can derive that c2=aec^2 = ae, which is the condition for a,c,ea, c, e to be in G.P.

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