If the sum of an infinite GP a, ar, ar2, ar3, ..... is 15 and the sum of the squares of its each term is 150, then the sum of ar2, ar4, ar6, .... is:

1
\(\frac{5}{2}\)
2
\(\frac{1}{2}\)
3
\(\frac{9}{2}\)
4
\(\frac{25}{2}\)

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