2. Akayla begins a new walk program with 600 m on the first day. Each day, she will increase her walk by200 m. How many kilometers will she walk on day 18 of her program?

Akayla will walk 4 kilometers on day 18 of her program.

Explanation:

This question uses arithmetic sequence to be solved. The formula of arithmetic sequence helps us calculate a number when there is a constant difference between one term and the next. In this case, our constant is 200m, since this is the distance she increases each day of walk.

The formula is:

aₙ = a₁ + (n - 1) (d)

n will refer to the 18th day, which is the one whose distance we need to calculate.

a₁ refers to the initial distance, 600m.

d is the constant, 200m.

Therefore:

aₙ = a₁ + (n - 1) (d)

a₁₈ = 600 + (18-1)(200)

a₁₈ = 4000m

4000m is the same as 4 km . Since we are supposed to answer in kilometers, we can safely say that Akayla will walk 4 kilometers on day 18 of her program.

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