Question

In the arithmetic sequence given as -5, -25, -45, -65, the formula for b(n) in terms of b(n−1) is:

A) b(n)=b(n−1)−20
B) b(n)=b(n−1)−30
C) b(n)=b(n−1)−40
D) b(n)=b(n−1)−10

Answer 1

The formula for the nth term in the given arithmetic sequence, in terms of the previous term, is b(n) = b(n-1) - 20.

Step-by-step explanation:

The question asks for the formula that relates the consecutive terms of an arithmetic sequence. We can determine the formula by looking at the difference between successive terms. In this sequence, the common difference can be calculated by subtracting any term from the term that follows it.

For example, if we subtract the first term (-5) from the second term (-25), we obtain:

-25 - (-5) = -25 + 5 = -20

This calculation shows us that each term is 20 less than the term before it, making the common difference -20. Therefore, the formula for the nth term b(n) in terms of the previous term b(n−1) is:

b(n) = b(n−1) - 20