Question

Write a recursive formula for the sequence 7, 13, 19, 25, 31, ... Then find the next term.

Answer 1

see explanation

Explanation:

there is a common difference between consecutive terms , that is

d = 13 - 7 = 19 - 13 = 25 - 19 = 31 - 25 = 6

this indicates the sequence is arithmetic

the recursive formula lets us find any term in the sequence by adding the common difference to the previous term , that is

`a_(n)` =
`a_(n-1)` + 6 ; a₁ = 7

the next term in the sequence is

31 + 6 = 37