Write a recursive formula and an explicit formula for the following arithmetic sequence: -1,6,13,20,27

Recursive formula is:

Explicit formula is:

Step-by-step explanation:

We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27

In the given sequence First term a₁= -1

Common difference d = 7

Finding Recursive Formula

The recursive formula is of type: and

Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula  for given arithmetic sequence will be:

Finding Explicit Formula

The explicit formula is of type:

We have

First term a₁= -1

Common difference d = 7

So, explicit formula will be:

So, explicit formula is:

answer:

step-by-step explanation: