The nth term of a G.P. is `3cdot2^(n).` Find the sum of 8 terms of the G.P.

Answer

N/a

Explanation

`"Here "T_(n)=3cdot2^(n)`
`therefore" "T_(1)=3cdot2=6`
`T_(2)=3cdot2^(3)=24`
`therefore" "G.P.=6+12+24+...`
`"Here ""a=6,r=(12)/(6)=2,n=8`
`therefore" "S_(n)=(a(r^(n)-1))/(r-1)" "(becausergt1)`
`rArr" "S_(8)=(6(2^(8)-1))/(2-1)`
`=6xx255=1530.`