Use F40 = 63; 245; 986 and F38 = 39; 088; 169 to find the value of F39. Show your reasoning. (3) Using the Binet’s formula, calculate F4.
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Answer:
By, using Binet’s formula we have 24; 157; 817.
Concept:
The generalized Fibonacci p-numbers, sums, combinatorial representations, and generating function of the generalized Fibonacci p-numbers are provided after the generalized Binet formula. Additionally, we develop an explicit formula for the sums of the generalized Fibonacci p-numbers using matrix methods. We take into consideration a generalization of the famous Fibonacci numbers, often known as Fibonacci -numbers.
Given:
= 63; 245; 986
= 39; 088; 169
Find:
By using Binet's formula find .
Solution:
We have to find Fibonacci numbers of .
63; 245; 986 - 39; 088; 169
24; 157; 817
Hence, the value of 24; 157; 817.
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