8
QuizMultiple Choice

Simple Interest and Arithmetic Sequences — Quiz

Question 8 • Advanced Financial Algebra

Cruz is training for a marathon and is gradually increasing his daily running distance. On the first day, he ran 3.2 kilometers, on the second day 3.4 kilometers, on the third day 3.6 kilometers, and so on, increasing his distance by 0.2 kilometers each day. What is the formula for the arithmetic sequence that represents the distance Cruz ran each day?

Answer
A
A sub n is equal to 3 point 0 minus 0 point 2 n
B
an=3.2+0.2⁢(n−1)
C
an=3.0+0.2⁢(n−1)
D
an=3.2+0.2⁢n

Explanation

An arithmetic sequence can be written as aₙ = a₁ + d(n − 1), where a₁ is the first term and d is the common difference. Cruz’s first distance is 3.2 kilometers and he adds 0.2 kilometer each day, so aₙ = 3.2 + 0.2(n − 1). This is choice B, and it gives 3.2 kilometers when n = 1.

AI-written and checked against the verified answer.

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