Question

PLEASE HELP PLEASE WILL GIVE BRAINLIEST !!!!! Freya is training for a track race. She starts by sprinting 200 yards. She gradually increases her distance

Answer 1

Answer:

A. $a_n=200+(n-1)5$

Step-by-step explanation:

Given,

The initial sprinting of Freya = 200 yards,

Also,  She gradually increases her distance by 5 yards per day,

So, in second day her sprinting = 200 + 5 = 205 yards,

In third day = 205 + 5 = 210 yards,

In fourth day = 210 + 5 = 215 yards,

....................,  so on,.....

Hence, the sequence that shows the given situation,

200, 205, 210, 215, .........

Which is an A.P.

That having first term, a = 200,

Common difference, d = 5,

Thus, the explicit formula for the given situation is,

$a_n=a+(n-1)d$

$\implies a_n=200+(n-1)5$

Option A is correct.

Answer 2

Answer:

Option A.

Step-by-step explanation:

The explicit formula of an AP is

$a_n=a+(n-1)d$              .... (1)

where,

a is the first of the AP,

d is common difference.

It is given that Freya starts by sprinting 200 yards and she gradually increases her distance, adding 5 yards a day.

200, 205, 210,..., 305

Here,

First terms = 200

Common difference = 5

Substitute a=200 and d=5 in equation (1), to find the required explicit model

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

Therefore, the correct option is A.