Question

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.

Answer 1

5, 6, 7, 8, 9, 10, 11

arithmetic

56 miles

Explanation:

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Answer 2

T = a + (n-1)d

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