Kendra practiced her violin each day for a week. The first day she practiced 3/8 hours, the second day she practiced 1 1/4 hours, and the third day she practiced 2 1/8 hours. If she increased the time she practiced each day by the same amount, how much time did she practice the fifth day? Explain how you found your answer.

she practiced for 3.875 hours on the fifth day.

Step-by-step explanation:

If she increased the time she practiced each day by the same amount, it means that the time of practice is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 0.375

d = 1.25 - 0.375 = 0.875

n = 5(fifth day)

We want to determine the value of the 5th term, T5. Therefore,

T5 = 0.375 + 0.875(5 - 1)

T5 = 0.375 + 3.5

T5 = 3.875

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step-by-step explanation: