Question

Write an explicit formula for an the nth term of the sequence 6 -24 96

Answer 1

`a_(n)` = 6
`(-4)^(n-1)`

Explanation:

the explicit formula for the nth term of the geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

here a₁ = 6 and r =
`(a_(2) )/(a_(1) )` =
`(-24)/(6)` = - 4

then explicit formula for nth term is

`a_(n)` = 6
`(-4)^(n-1)`