Respuesta :

This is the concept of sequences and series, the distance in which Ezra would be running after 21 days will be given by:
an=a+d(n-1)
where;
a=first term=100 yards
d=common difference=5
n=number of terms=21
thus the distance after 21 days will be:
a21=100+(21-1)5
=100+20*5
=100+100
=200 yards

The distance that Ezra would have covered after 21 days if he starts sprinting by sprinting 100 yards is; 200 yards

How to use Arithmetic Sequence?

The formula to find the nth term of an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

a is first term = 100 yards

d is common difference = 5

n is number of terms = 21

Therefore the distance after 21 days will be:

a₂₁ = 100 + (21 - 1)5

a₂₁ = 100 + (20*5)

a₂₁ = 100 + 100

a₂₁ = 200 yards

Read more about Arithmetic Sequence at; https://brainly.com/question/6561461

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