In a G.P. if the ${(m + n)}^{t h}$ term is p and ${(m - n)}^{t h}$ term is q , then its $m^{t h}$ term is:

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Solution

The correct option is A

$T_{m + n}$ = a $r^{m + n - 1}$ = p

$T_{m - n}$ = a $r^{m - n - 1}$ = q

Multiplying $a^{2} r^{2 m - 2}$ = pq

∴ $T_{m}$ = a $r^{m - 1}$ = $\sqrt{(p q)}$

Suggest Corrections

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