19
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 19 • TX-Pre-Calculus

Khalid invests $500 in an account that earns 1.5% interest per year, compounded annually. Which of the following is formed by the amount in his account from year to year?

Answer
A
an arithmetic series
B
an arithmetic sequence
C
a geometric series
D
a geometric sequence

Explanation

Each year, the account balance is multiplied by 1.015, since it earns 1.5% interest on the current balance. A list of amounts that changes by the same multiplication factor each year is a geometric sequence. The account balances are not a series, because a series is the sum of sequence terms.

AI-written and checked against the verified answer.

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