Answer :
Final answer:
Kim has jogged a total distance of 29.9 miles at the end of 5 weeks. This answer was found using the formula for the sum of an arithmetic progression.
Explanation:
This is a question related to arithmetic progressions in mathematics. Here, Kim initially jogs 5.6 miles during the first week. Then, she increases her distance by 3/4 mile each subsequent week. We can use the formula for the sum of an arithmetic progression to find out the total distance jogged by Kim after 5 weeks.
The formula for the sum (S) of the first n terms of an arithmetic progression with first term a and common difference d is given by:
S = n/2 * (2a + (n-1)d).
When we enter the specified values into this formula, we obtain:
S = 5/2 * (2*5.6 + (5-1)*3/4).
Calculating the above expression, we find that the total distance jogged by Kim after 5 weeks is 29.9 miles. Therefore, the correct answer is B. 29.9 miles.
Learn more about Arithmetic Progression here:
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