2 years ago

Which statement best completes the diagram?

History

1 answer:

AysviL [449]2 years ago

7 0

Answer
It is C
You got this!!
Explanation

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

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Answer:

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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 $n$ :

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

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

$f(3)=5 \cdot 125$

$f(3)=625$

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