While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff runs 5 miles. He plans on increasing the number of miles he runs a day by 1 for the remainder of the week. Write a series to model the situation.

Question

Michaela

Mathematics

12 January, 22:23

While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff runs 5 miles. He plans on increasing the number of miles he runs a day by 1 for the remainder of the week. Write a series to model the situation.

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Answers (1)

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Arely Nicholson · Answer 1

T = a + (n-1) d

Step-by-step explanation:

The arithmetic progression formula could be used to represent the series

T = a + (n-1) d

Where a = number of miles before increase

d = intended additional number of miles each day

n = number of days

Hence on the 2nd day, number of miles to be covered by Jeff will be

T = a + (2-1) d = a + d