Question

The first term in a sequence is 10. Each term after the first term is 8 more than the term before it. Which is the recursive formula for the sequence?

1) a_n = a_{n-1} + 8
2) a_n = a_{n-1} - 8
3) a_n = a_{n-1} * 8
4) a_n = a_{n-1} / 8

Answer 1

The correct recursive formula for the sequence described is option 1) a_n = a_{n-1} + 8, indicating each term is 8 more than the previous term.

Step-by-step explanation:

The student is asking for a recursive formula for a sequence where each term after the first term is 8 more than the term before it, with the first term being 10. A recursive formula provides the next term in a sequence by relating it to the previous term or terms.

The correct recursive formula for the given sequence would be option 1) a_n = a_{n-1} + 8, which represents that each term (a_n) can be found by adding 8 to the previous term (a_{n-1}).