Question

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

Answer 1

Explanation:

We have the following sequence:

`-3,-12,-48,-192...`

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

`f(1)=-3`

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

`\begin{gathered} r=(-192)/(-48)=4 \\ \\ r=(-48)/(-12)=4 \\ \\ r=(-12)/(-3)=4 \end{gathered}`

So the sequence would be:

`f(n)=f(n-1)\cdot4`