Question

Write a explicit formula 96 24 6

Answer 1

`a_(n)` = 96
`((1)/(4)) ^(n-1)`

Explanation:

there is a common ratio between consecutive terms, that is

`(24)/(96)` =
`(6)/(24)` =
`(1)/(4)`

this indicates the sequence is geometric with explicit formula

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

here a₁ = 96 and r =
`(1)/(4)` , then explicit formula is

`a_(n)` = 96
`((1)/(4)) ^(n-1)`