Concept explainers
To find: the relationship between pascal’s triangle and the Fibonacci triangle and the Fibonacci sequence and examine pascals triangle.
Answer to Problem 39E
Diagonal of pascal’s triangle forms the Fibonacci sequence.
Explanation of Solution
Given:
Pascal triangle.
Concept used:
The sum of diagonals of the pascal triangles gives the Fibonacci numbers as following.
Calculation:
The relation between pascals triangle and Fibonacci sequence is by adding the number on diagonal lines of pascals triangle number the sum are terms of Fibonacci sequence.
The diagonal so form will Fibonacci sequences.
Hence, diagonal of pascal’s triangle forms the Fibonacci sequence.
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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