Question

Write a recursive formula for the sequence negative 5 negative 9 negative 13 and negative 17

Answer 1

The recursive formula for the sequence -5, -9, -13, and -17 is a1 = -5 and an = an-1 - 4 for n > 1.

Step-by-step explanation:

The sequence given is -5, -9, -13, and -17. We can see that each term decreases by 4 as we move from one term to the next. To write a recursive formula, we start with the first term and express the subsequent terms based on the previous term.

The recursive formula for this sequence can be defined as follows:

1. a1 = -5 (This is the starting term of the sequence, known as the initial condition.)
2. an = an-1 - 4, for n > 1 (This tells us that to get to the nth term, take the previous term, an-1, and subtract 4.)