Question

Susie begins a new walking program with 3 mile on the first day. Each day, she will increase her walk by 1 m. How many kilometers will she walk on day 18 of her program?

Answer 1

Susie will walk 32.1868 kilometers on day 18 of her program.

Step-by-step explanation:

To find out how many kilometers Susie will walk on day 18 of her program, we need to determine the total distance she will have walked by that day. Since she increases her walk by 1 mile each day, we can set up an arithmetic sequence to represent the distance she walks each day. The formula for finding the nth term of an arithmetic sequence is an = a1 + (n-1)d, where an is the nth term, a1 is the first term, and d is the common difference. In this case, a1 = 3 and d = 1. So, on day 18, Susie will have walked a total of 3 + (18 - 1) * 1 = 20 miles. To convert this to kilometers, we need to multiply by the conversion factor 1.60934, since 1 mile is approximately equal to 1.60934 kilometers. Therefore, Susie will walk 20 * 1.60934 = 32.1868 kilometers on day 18 of her program.