Question

Write the explicit formula for the geometric sequence 64,32,16,8

Answer 1

`a_(n)` = 64
`((1)/(2)) ^(n-1)`

Explanation:

The explicit formula for a geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r =
`(a_(2) )/(a_(1) )` =
`(32)/(64)` =
`(1)/(2)` , then explicit formula is

`a_(n)` = 64
`((1)/(2)) ^(n-1)`