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

Respuesta :

Ammimochi

Freya begins started with 200 yards.

Freya then increased her distance by adding five yards a day for two days.

x = 200 + (n - 1)5.

[x = The distance Freya sprints on day 21]

x = 200 + (21 - 1)5

x = 200 +  (20) 5 = 300 yards

alinakincsem

Answer:

[tex] a _ n = 200 + ( n - 1 ) 5 [/tex]

Step-by-step explanation:

We are given that initially, Freya started with sprinting 200 yards and then gradually increased the distance by adding 5 yards a day for 21 days.

So our initial value for distance is [tex]a_1=200[/tex]

and since she keeps on adding 5 yards everyday to her distance so this will be our common difference.

Therefore, the explicit formula will be:

[tex]a_n=200+(n-1)5[/tex]

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