Emma is starting a running plan to train for a race. In the first week of her running plan, Emma will run 15 miles. The plan calls for Emma to increase her weekly milage by 2.5 miles every week. If Emma sticks to the plan, how many miles would she be expected to run during her 7th week of the training plan? Round to the nearest tenth (if necessary).

Question

Emmett Trujillo

Mathematics

17 June, 10:15

Emma is starting a running plan to train for a race. In the first week of her running plan, Emma will run 15 miles. The plan calls for Emma to increase her weekly milage by 2.5 miles every week. If Emma sticks to the plan, how many miles would she be expected to run during her 7th week of the training plan? Round to the nearest tenth (if necessary).

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Bridger Dalton · Answer 1

Answer: she would be expected to run 30 miles during her 7th week of the training plan.

Step-by-step explanation:

The plan calls for Emma to increase her weekly milage by 2.5 miles every week. This means that the number of miles 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 = 15 miles

d = 2.5 miles

n = 7

We want to determine the value of the 7th term, T7. Therefore,

T7 = 15 + 2.5 (7 - 1)

T7 = 15 + 15

T17 = 30 miles