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Question

If (p + q)th and (p − q)th terms of a G.P. are m and n respectively, then write is pth term.

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Solution

Here, p + qth term = m arp + q-1 = m .......iAnd, p - qth term = n arp - q-1 = n .......iiDividing i by ii:arp + q-1arp - q-1=mn r2q = mnrq = mnNow, from i:arp-1×rq = marp-1 × mn = marp-1 = m ×nmarp-1 = mnmThus, the pth term is mnm.

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