MATH SOLVE

6 months ago

Q:
# Akim runs 1.75 miles on his first day of training for a road race. the next day, he increases his distance run by 0.25 miles. the day after that, he increases his distance run by another 0.25 miles, and so on. what is the total number of miles akim runs over the course of 18 days?

Accepted Solution

A:

He runs 69.75 miles.

Explanation:

This can be represented as an arithmetic sequence, since the same number of miles is added each day.

The explicit form for this arithmetic sequence would be 1.75+0.25(n-1). However, we also need the sum. Using technology,

[tex]\Sigma_{n=1}^{18} 1.75+0.25(n-1)=69.75[/tex].

Explanation:

This can be represented as an arithmetic sequence, since the same number of miles is added each day.

The explicit form for this arithmetic sequence would be 1.75+0.25(n-1). However, we also need the sum. Using technology,

[tex]\Sigma_{n=1}^{18} 1.75+0.25(n-1)=69.75[/tex].