Question

The first term in a sequence is 16. Each term after that is 5 more than the term before it. Write the recursive

formula for the sequence.

Answer 1

The recursive formula for the sequence is an = an-1 + 5, where an is the n-th term in the sequence and an-1 is the (n-1)-th term in the sequence. Each term in the sequence is equal to the previous term plus 5.

Step-by-step explanation:

The recursive formula for the sequence is:

an = an-1 + 5

Where:

• an is the n-th term in the sequence
• an-1 is the (n-1)-th term in the sequence

This means that each term in the sequence is equal to the previous term plus 5. Starting with the first term, which is 16, we can use this formula to find any term in the sequence.

For example, to find the second term:

a2 = a1 + 5 = 16 + 5 = 21

To find the third term:

a3 = a2 + 5 = 21 + 5 = 26

And so on...