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The 4^(th) term of a G.P. is square of i...

The `4^(th)` term of a G.P. is square of its `2^(nd)` term . If the first term is -3 find the `7^(th)` term of the G.P.

Text Solution

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`T_(4)=(T_(2))^(2)rArrar^(3)=(ar)^(2)rArrar^(3)=a^(2)r^(2)rArrr=arArrr=-3`
`T_(7)=ar^(6)=(-3)(-3)^(6)=(-3)^(7)=-2187`
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