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Answer :
Using the arithmetic sequence formula, the practice time on the 7th day for Kent's saxophone session is found to be 120 minutes, which corresponds to the answer choice (c).
Kent is practicing his saxophone and increases his daily practice time by 15 minutes each day.
To find out how many minutes he will practice on the 7th day, we can use the formula for an arithmetic sequence since he is increasing his practice time by a constant amount each day.
The formula for the nth term of an arithmetic sequence is given by a_n = a_1 + (n - 1) * d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.
In this case, a_1 = 30 minutes, d = 15 minutes, and n = 7 because we want to find the practice time on the 7th day.
Applying the values to the formula, we get:
a_7 = 30 + (7 - 1) * 15
a_7 = 30 + 6 * 15
a_7 = 30 + 90
a_7 = 120 minutes
Therefore, Kent will practice for 120 minutes on the 7th day of practice.
The correct answer is c. 120 minutes.
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