Question

Find the 7th term of the geometric sequence whose common ratio is 2/3 and whose first term is 4

.

Answer 1

`a_(7)=(256)/(729)` or
`a_(7)=0.35`

Explanation:

`a_(n) =a_(1)* r^(n-1)`

`a_(7)=4*(2)/(3)^(7-1)`

`a_(7)=4*(2)/(3)^(6)`

`a_(7)=4*(64)/(729)`

`a_(7)=(256)/(729)`

or

`a_(7)=0.35`