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I need help. use the graph to answer the 3 questions pls

I need help. use the graph to answer the 3 questions pls-example-1
User OFFLlNE
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1 Answer

5 votes

1. As the graph is exponential the sequence is geometric.

2. - Find the ratio r betwen each k(x) value and the previous one:


\begin{gathered} (27)/(81)=(1)/(3) \\ \\ (9)/(27)=(1)/(3) \\ \\ (3)/(9)=(1)/(3) \\ \\ (1)/(3)=(1)/(3) \end{gathered}

Use the next formula to get the recursive formula:


\begin{gathered} k_1=\text{first term} \\ k(x)=r\cdot k_(x-1) \end{gathered}

Being k1 the first term (81)

r the ratio you find above: (1/3)

k(x-1) is the prevoius term

You get the next recursive formula:
\begin{gathered} k_1=81 \\ k(x)=(1)/(3)k_(x-1) \end{gathered}

3. As x is the number of cuts, it cannot be a negative number. And it needs to be an inerger number (as the number of cuts cannot be a decimal number)

Then:


x\ge0;x\in Z

x can be any interger possitive number (example: 6,7,8) also, the number of cuts cannot be a very large number as you cannot cut an object in infinitely parts.

Then, x can be a possitive interger and cannot be a negative number, a decimal, or a very large possitive interger
User Daniel Grim
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