Drag each number to the correct location on the statements. Not all numbers will be used. Consider the sequence below. --3, -12, -48, -192, ... Complete the recursively-defined function to describe this sequence. f(1) =...... f(n) = f(n-1) × .....for n = 2, 3, 4... 3, 2, 3, 4, 12, -4

Drag each number to the correct location on the statements Not all numbers will be used Consider the sequence below 3 12 48 192 Complete the recursivelydefined class=

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ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following sequence:

[tex]-3,-12,-48,-192...[/tex]

f(1), is the first term of the sequence, therefore, it would be:

[tex]f(1)=-3[/tex]

Now, we calculate the common ratio, just like this:

[tex]\begin{gathered} r=\frac{-192}{-48}=4 \\ \\ r=\frac{-48}{-12}=4 \\ \\ r=\frac{-12}{-3}=4 \end{gathered}[/tex]

So the sequence would be:

[tex]f(n)=f(n-1)\cdot4[/tex]

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