Question

Which represents the recursive formula for the arithmetic sequence an=7-3(n-1)?

A. a3 = a2 * 3
B. a2 = a1 - 3
C. a2 = a1 + 3
D. a3 = a2 - 7

Answer 1

The recursive formula for the arithmetic sequence represented by an=7-3(n-1) is a2 = a1 + 3 (Option C).

Step-by-step explanation:

The recursive formula for the arithmetic sequence represented by an=7-3(n-1) is a2 = a1 + 3 (Option C).

To find the recursive formula, we need to analyze the pattern in the sequence. In this case, we can see that each term is obtained by subtracting 3 times the position of the term (n-1) from 7. Therefore, to find the second term (a2), we substitute n=2 into the formula and simplify it to a2 = a1 + 3.