7
QuizMultiple Choice

Recognizing Patterns

Question 7 • GA-Algebra: Concepts and Connections CR

Shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. Which formula could represent her sequence?

Answer
A
f(n + 1) = f(n) + 5
B
f(n + 1) = f(n + 5)
C
f(n + 1) = 5f(n)
D
f(n + 1) = f(5n)

Explanation

In an arithmetic sequence, each new term is found by adding the common difference to the previous term. Since 5 is added each time, the rule is f(n + 1) = f(n) + 5. This is choice A; choice C would multiply each term by 5 instead.

AI-written and checked against the verified answer.

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