Question

Side Panel Expand side panel 7.01 Discussion: Sequences and Modeling with Functions Think about Pascal's triangle. Many numerical sequences exist in this triangle. Research/explore the triangle. Give an explicit or recursive rule or explanation for the sequence you found. For example, the sum of the diagonals gives the Fibonacci sequence. Give an example of where in the triangle your sequence is located.

Answer 1

The Fibonacci sequence is a series of integers that begins with a zero, then a one, then another one, and so on.

In other words, the sequence is defined by beginning with the terms 1 and 1, then adding the two preceding terms to generate the following term. For example, if 1+1=2, 1+2=3, 2+3=5, 3+5=8, and so on.

The Fibonacci sequence is given by the sum of the triangles in the diagram. The series begins with 0 and 1 and progresses through the numbers, such as 3 + 5 = 8, and 5 + 8 = 13.

I am just making more details about kyhyatt14's post.

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Answer 2

The sum of the triangle gives us the Fibonacci sequence. The sequence starts with 0 and 1, then adds along the road, such as 3+5=8, and 5+8=13.

It's a pattern going along while adding sequences together.

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