7
QuizMultiple Choice

Simple Interest and Arithmetic Sequences — Quiz

Question 7 • Advanced Financial Algebra

Avery is a photographer and takes a certain number of photos each day. Over the past week, she took 30 photos on the first day, 25 on the second, 20 on the third, and continued decreasing the number of photos by 5 each day. What is the formula for the arithmetic sequence that represents the number of photos Avery took each day?

Answer
A
A sub n is equal to 35 plus 5 n
B
an=30−5⁢(n−1)
C
an=35−5⁢(n−1)
D
an=25−5⁢n

Explanation

The sequence starts with 30 photos and decreases by 5 each day, so its first term is 30 and its common difference is −5. Using the arithmetic-sequence formula aₙ = a₁ + d(n − 1), we get aₙ = 30 − 5(n − 1). This is choice B, an = 30 − 5(n − 1).

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