The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13,... (where Fo = 0). (a) Write out the first few terms of the sequence of partial sums: 0, 0 + 1, 0+1+1,... (b) Guess a formula for the sequence of partial sums expressed in terms of a single Fibonacci number. For example, you might say Fo + F₁ + + Fn = 3F² + n, although that is definitely not n-1 correct.
The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13,... (where Fo = 0). (a) Write out the first few terms of the sequence of partial sums: 0, 0 + 1, 0+1+1,... (b) Guess a formula for the sequence of partial sums expressed in terms of a single Fibonacci number. For example, you might say Fo + F₁ + + Fn = 3F² + n, although that is definitely not n-1 correct.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please try to explain the answer for 5(b) (dont use sigma to solve this problem)
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