In a G.P., if term is and term is where , then its term is

JEE MainMathematicsModerateSequences and Series

In a G.P., if $(2p)^{th}$ term is $q^{2}$ and $(2q)^{th}$ term
is $p^{2}$ where $p\ and\ q \in N$ , then its $(p + q)^{th}$ term is

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q^{2} = {AR}^{2p - 1}andp^{2} = QR^{2q - 1}

T_{p + q} = AR^{p + q - 1} = {(AR^{2p - 1} \cdot AR^{2q - 1})}^{1/2}

= {(p^{2}q^{2})}^{1/2} = pq

Source: Grass-G / M-16 Mathematics Paper 25 Nov First.docx

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