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