If $(p + q)^{t h}$ and (p - q)th terms of a G.P. are m and n respectively, then write its pth term.

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Solution

$(p + q)^{t h}$ term = $(a r)^{p + q - 1} = m$

$(p - q)^{t h}$ term = $a r^{p - q - 1} = n$

mn = $a^{2} r^{2 p - 2}$

$\sqrt{m n} = a r^{p - 1} = p^{t h}$ term

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