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Q. If 1, a and P are in A. P. and 1, g and P are in G. P., then

Sequences and Series

Solution:

$2a = 1 + p$ and $g^2 = P$
$\Rightarrow \, g^2 = 2a -1 \, \Rightarrow \, 1- 2a + g^2 = 0$