Question

Question 1 What is the recursive formula forthe sequence 2, 24, 46, 68, 90, ...?

Answer 1

A

Explanation:

the sequence has a common difference between consecutive terms, that is

24 - 2 = 46 - 24 = 68 - 46 = 90 - 68 = 22

this indicates the sequence is arithmetic with recursive formula

`a_(n)` =
`a_(n-1)` + d ( where d is the common difference )

here d = 22 , then

`a_(n)` =
`a_(n-1)` + 22 ; a₁ = 2 ( a₁ is the first term in the sequence )