### 7.4 Fibonacci & Other Patterns

• Math Help

Although the Fibonacci sequence starts with 0 and 1, a general Fibonacci sequence can start with other numbers. For instance, in Example 1, the number of breeding pairs for each month starts with 1 and 1. So, the number of pairs follows the Fibonacci pattern In the solution to Example 1, note that the table lists the number of breeding pairs for each month. To determine the total number of rabbits for each month, multiply the number of pairs by 2. The total number of rabbits is shown in the 4th column of the table below. • Consumer Suggestion

Rabbits can make great pets, but you may want to read this Humane Society article or watch this video before you decide to get one. If you decide you want a rabbit, read these tips on welcoming your new pet rabbit home.

• Checkpoint Solution

Begin by entering the data into a spreadsheet. Then create a scatter plot showing the two growth patterns. The number of rabbits with the exponential pattern is greater than or equal to that of the Fibonacci pattern at every point. With the exponential pattern, the number doubles each month while the Fibonacci sequence of rabbits increases at a slower rate.

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``` __   _    __   __    ______   _    _    ______
| || | ||  \ \\/ //  /_____// | || | || |      \\
| '--' ||   \ ` //   `____ `  | || | || |  --  //
| .--. ||    | ||    /___//   | \\_/ || |  --  \\
|_|| |_||    |_||    `__ `     \____//  |______//
`-`  `-`     `-`'    /_//       `---`   `------`
`-`
```  