Question

Find the tenth term of the

geometric sequence, given the
first term and common ratio.
a =4 and r=1/2​

Answer 1

`(1)/(128)`

Explanation:

The n th term of a geometric sequence is

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

where a is the first term and r the common ratio, hence

`a_(10)` = 4 ×
`((1)/(2)) ^(9)` = 4 ×
`(1)/(512)` =
`(1)/(128)`