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If the sum of an infinite GP \(a, a r, a r^2, a r^3, \ldots . .\). is 15 and the sum of the squares of its each term is …

Q1

If the sum of an infinite GP \(a, a r, a r^2, a r^3, \ldots . .\). is 15 and the sum of the squares of its each term is 150 , then the sum of \(a r^2, a r^4, a r^6, \ldots . .\). is:

[JEE Main 2021, 26 Aug (Shift 1)]

a

\(\frac{1}{2}\)

b

\(\frac{25}{2}\)

c

\(\frac{5}{2}\)

d

\(\frac{9}{2}\)

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