Question

Write an explicit formula for each recursive formula. an=an-1(-5); a1=4

Answer 1

`a_(n)` = 4
`(-5)^(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 = 4 and r = - 5

`a_(n)` = 4
`(-5)^(n-1)`