Write a recursive and explicit formula for the following arithmetic sequence-5, -2, 1, 4

For an arithmetic sequence the n th term ( explicit formula ) is

= + (n - 1 )d

where d is the common difference and the first term

here d = 4 - 1 = 1 - (- 2) = - 2 - (- 5) = 3 and = - 5, hence

= - 5 + 3(n - 1) = - 5 + 3n - 3 = 3n - 8 ← explicit formula

A recursive formula allows us to find the next term in the sequence from the previous term, hence

= + 3, with = - 5

what do you need me to answer?

step-by-step explanation: