Find the `12^(t h)`term of a G.P. whose 8th term is 192 and the common ratio is 2.

Answer

N/a

Explanation

"Let first term be 'a'.
`"Given, "r=2`
`therefore" "T_(8)=192`
`rArr" "acdotr^(7)=192rArracdot2^(7)=192`
Sequence and Series
`rArr" "a=(3)/(2)`
`"Now "T_(12)=acdotr^(11)`
`T_(12)=(3)/(2)xx2^(11)=3072`