Solved: The Fibonacci sequence of numbers occurs in
Chapter 14, Problem 49E(choose chapter or problem)
The Fibonacci sequence of numbers occurs in various scientific contexts. The first two numbers in the sequence are 1,1. Then every succeeding number is the sum of the two previous numbers: 1, 1, 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, 8, 13, 21, . . .. The first digit of any number in this sequence can be 1, 2, . . ., or 9. The frequencies of first digits for the first 85 numbers in the sequence are as follows: 25 (1’s), 16 (2’s), 11, 7, 7, 5, 4, 6, 4. Does the distribution of first digits in the Fibonacci sequence appear to be consistent with the Benford’s Law distribution described in Exercise 21 of Chapter 3? State and test the relevant hypotheses.
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