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If (p+q)^(t h)a n d\ (p-q)^(t h) terms o...

If `(p+q)^(t h)a n d\ (p-q)^(t h)` terms of a G.P. re `m\ a n d\ n` respectively, then write it `p t h` term.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(mn)`
Let first term = a and common ratio = r. Then,
`T_(p+q)=m rArr ar^((p+q-1))=m`
`T_(p-q)=n rArr ar^((p-q-1))=n`
`:. Mn=a^(2)r^(2(p-1))={ar^((p-1))}^(2) rArr ar^((p-1))=sqrt(mn) rArr T_(p)=sqrt(mn)`.
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