Question

Vera uploaded a hilarious video of a squirrel to a funny videos website. It was viewed 320 times on the first day. Each day since then, the number of views was 25% more than the day before.Let f(n)f(n) be the number of views Vera's video got on the n^\text{th}n

th
day since she uploaded it.

Answer 1

Answer: f(n) = 320 x (1.25)^n-1

The sequence is geometric sequences

Explanation:

Answer 2

`f(n) =320* (1.25)^(n-1)`

Explanation:

On first day , the video was viewed = 320 times .

We are given that Each day since then, the number of views was 25% more than the day before. This means the likes are increasing 1.25 per day .

So, this situation forms G.P.

Where common ratio r = 1.25

First term = f(1) = 320

Formula of nth term in G.P. =
`f(n) =f(1)* r^(n-1)`

So, nth term of the given situation :

`f(n) =320* (1.25)^(n-1)`

Where f(n) denotes the number of views on nth day .

So, the number of views Vera's video got on the nth day =
`320* (1.25)^(n-1)`