Question

F(n)=5xf(n-1)

f(0)=5

f(3)=



(x means multiple)

Answer 1

`\displaystyle 625`

Step-by-step explanation:

All results are quintupled the previous terms:

`\displaystyle 5 = f(0) \\ 25 = f(1) \\ 125 = f(2) \\ 625 = f(3)`

I am joyous to assist you anytime.

Answer 2

625

Step-by-step explanation:

So this says the following:

A term is equal to 5 times the previous term.

We are given the 0th- term is 5.

The first term is 5(5)=25.

The second term would be 5(25)=125.

The third term would be 5(125)=625.

So f(3)=625.

If you didn't like that explanation, you can find f(3), by first finding f(1) then f(2) using the equation given as is without making the interpretation I did above.

`f(n)=5 \cdot f(n-1)` ; plug in 1 for
`n`:

`f(1)=5 \cdot f(1-1)`

`f(1)=5 \cdot f(0)`

`f(1)=5 \cdot 5`

`f(1)=25`

`f(n)=5 \cdot f(n-1)` ; plug in 2 for
`n`:

`f(2)=5 \cdot f(2-1)`

`f(2)=5 \cdot f(1)`

`f(2)=5 \cdot 25`

`f(2)=125`

`f(n)=5 \cdot f(n-1)` ; plug in 3 for
`n`:

`f(3)=5 \cdot f(3-1)`

`f(3)=5 \cdot f(2)`

`f(3)=5 \cdot 125`

`f(3)=625`