217k views
4 votes
An arithmetic sequence is represented by the explicit formula A(n) = 2 + 9(n - 1). What is the recursive formula?. . A. A(n) = A(n - 1) + 2. . B. A(n) = A(n - 1) + 9. . C. A(n) = A(n - 1) - 9. . D. A(n) = A(n - 1) - 3

2 Answers

3 votes
A(n) = 2 + 9(n - 1) = 2 + 9n - 9
A(n + 1) = 2 + 9(n + 1 - 1) = 2 + 9n = (2 + 9n - 9) + 9 = A(n) + 9

Therefore, the recursive formular is A(n) = A(n - 1) + 9
User Thomasdao
by
9.0k points
6 votes
The first term of a sequence:
A 1 = 2 + 9 ( 1 - 1 ) = 2
The 2nd term of a sequence:
A 2 = 2 + 9 ( 2 - 1 ) = 2 + 9 = 11
The common difference is:
d = A2 - A1 = 11-2 = 9
The recursive formula is:
B ) A (n) = A(n-1) +9
User Meroon
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories