Question

What is the explicit rule for the sequence -35, -30, -25, -20, ...?

a) n - 5, where n is the term number
b) 5n - 40, where n is the term number
c) n + 5, where n is the term number
d) 5n - 35, where n is the term number

Answer 1

The explicit rule for the sequence -35, -30, -25, -20 is given by 5n - 40, where n is the term number.

Step-by-step explanation:

The explicit rule for the sequence -35, -30, -25, -20 is b) 5n - 40, where n is the term number.

To find the explicit rule, we need to look for a pattern in the sequence. Each term is obtained by adding 5 to the previous term. So, the difference between consecutive terms is constant.

The first term is -35 (n = 1), the second term is -30 (n = 2), and so on. We can see that the term number multiplied by 5 and then subtracting 40 gives us the corresponding term in the sequence.

For example, when n = 1, the formula gives us 5(1) - 40 = -35, which is the first term. Similarly, when n = 2, the formula gives us 5(2) - 40 = -30, which is the second term.