Question

Please help I’m super confused :(

Answer 1

`a_(7)` =
`(3)/(32)`

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

Here a = 6 and r =
`(1)/(2)` , thus

a₇ = 6 ×
`((1)/(2)) ^(6)` = 6 ×
`(1)/(64)` =
`(6)/(64)` =
`(3)/(32)`