AnswersGA-Algebra Concepts and Connections CRRecognizing PatternsQuestion 5
5
QuizMultiple Choice

Recognizing Patterns

Question 5 • GA-Algebra: Concepts and Connections CR

Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her initial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.100, 105, 110.25, ...

Answer
A
f(n + 1) = f(n) + 5
B
f(n + 1) = 5f(n)
C
f(n + 1) = 1.05f(n)
D
f(n + 1) = 0.05f(n)

Explanation

Each year’s balance is 1.05 times the previous year’s balance: 105 ÷ 100 = 1.05, and 110.25 ÷ 105 = 1.05. This means the account earns 5% interest each year, so the recurrence is f(n + 1) = 1.05f(n), choice C.

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