The Fibonacci sequence can be used to convert approximately between miles and kilometres , as shown below. Extend the sequence then use it to approximate the number of kilometres in 89 miles. To work out the next number, add the two previous numbers.

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The Fibonacci sequence can be used to convert approximately between miles and kilometres , as shown below. Extend the sequence then use it to approximate the number of kilometres in 89 miles. To work out the next number, add the two previous numbers.

Answer 1

### 144 kilometres

Answer 2

## Step 1: Extend the Fibonacci Sequence ### To find the next number in the Fibonacci sequence, add the two previous numbers. Continue this process until the desired term is reached. \[\begin{aligned} &0, \quad 1, \quad 1, \quad 2, \quad 3, \quad 5, \quad 8, \quad 13, \quad 21, \quad 34, \quad 55, \quad 89, \quad 144 \end{aligned}\] ## Step 2: Identify the Corresponding Kilometres ### In the Fibonacci sequence, each term can be used to approximate the conversion between miles and kilometres. Here, 89 miles corresponds to the next term in the sequence, which is 144 kilometres. #

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The Fibonacci sequence can be used to convert approximately between miles and kilometres , as shown below. Extend the sequence then use it to approximate the number of kilometres in 89 miles. To work out the next number, add the two previous numbers.

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