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Naddik [55]
3 years ago
8

F(n)=5xf(n-1)f(0)=5f(3)= (x means multiple)

History
2 answers:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

625

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

vaieri [72.5K]3 years ago
3 0

Answer:

\displaystyle 625

Explanation:

All results are <em>quintupled</em> <em>the</em><em> </em><em>previous</em><em> </em><em>terms</em>:

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

I am joyous to assist you anytime.

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