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Sum of N Terms of an AP

In a G.P. if ...

Question

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

0

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p q

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\sqrt{p q}

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\frac{1}{2} (p + q)

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Solution

The correct option is B $\sqrt{p q}$
$(m + n)^{t h} t e r m i n G . P . = p p = a r^{m + n - 1} (m - n)^{t h} t e r m i n G . P . = q q = a r^{m - n - 1} p q = a^{2} r^{2 m - 2} p q = (a r^{m - 1})^{2} m^{t h} t e r m = a r^{m - 1} = \sqrt{p q}$

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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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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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