Question

Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?

5,–1, –7, –13, –19, ...

Answer 1

5, -1, -7, -13, -19

-6 -6 -6 -6 the difference between the numbers is -6

`a_(n) = a_(1) + d(n - 1)` ; where a₁ is the first term, d is the difference, and n is the term

`a_(n) = 5 - 6(n - 1)`

`a_(n) = 5 - 6n + 6)`

`a_(n) = 11 - 6n`

f(1) = 5

`a_(1) = 11 - 6(1)`

= 11 - 6

= 5

TRUE