Question

Freya is training for a track race. She starts by sprinting 200 yards. She gradually increases her distance, adding 5 yards a day for 21 days which explicit formula models this situation

Answer 1

a_n = 200 (n-1)5

Explanation:

just to simplify from those over achievers who confuse the living h e l l out of everyone

Answer 2

The explicit formula is:

`a_n = 200 +5(n-1)`

Explanation:

Freya increases 5 yards daily to the number of yards she runs.

Note that the increase factor is constant, so this problem can be modeled using an arithmetic sequence.

The explicit formula for an arithmetic sequence is:

`a_n = n_1 + d(n-1)`

Where:

`a_n` is the number of yards that Freya runs on the day

`a_1` is the number of yards that he runs on day 1

d is the increase factor.
`d = 5` yards

n is the number of days

Then as
`a_1 = 200` and
`d = 5`, the explicit formula is:

`a_n = 200 +5(n-1)`