Answer:
A. [tex]a_n=200+(n-1)5[/tex]
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,
[tex]a_n=a+(n-1)d[/tex]
[tex]\implies a_n=200+(n-1)5[/tex]
Option A is correct.
Answer:
Option A.
Step-by-step explanation:
The explicit formula of an AP is
[tex]a_n=a+(n-1)d[/tex] .... (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
[tex]a_n=200+(n-1)5[/tex]
Therefore, the correct option is A.
