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In a.G.P., the 3^( rd ) term is 24 and t...

In a.G.P., the `3^( rd )` term is 24 and the `6^ (th) ` term is 192 . Find the `10^ (th) ` term.

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Here, `a_3=ar^2=24`.......... (1)
and `a_6=a r^5=192`.
Dividing (2) by (1), we get `r=2`. Substituting `r=2` in (1), we get `a:=6`.
Hence, `a_10=6(2)^9=3072`
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