Question

Give a recursive formula for this sequence: 1,4,7,10,13,16....
PLEASE HELP ME! Tysm! (:

Answer 1

`a_(n+1)` =
`a_(n)` + 3 ; a₁ = 1

Explanation:

Given

1, 4, 7, 10, 13, 16, ......

Note the difference in consecutive terms is constant, that is

4 - 1 = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3

Thus to obtain the next term in the sequence ( recursive formula )

Add 3 to the previous term

`a_(n+1)` =
`a_(n)` + 3 ( with a₁ = 1 )