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The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, . . . (where F0 = 0). (a) Guess a formula for the sequence of partial sums expressed in terms of a single Fibonacci number. For example, you might say F0 + F1 + · · · + Fn = 3F2 n−1 + n, although that is definitely not correct.   please explain the answer [ please dont use sigma ]

The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, . . . (where F0 = 0). (a) Guess a formula for the sequence of partial sums expressed in terms of a single Fibonacci number. For example, you might say F0 + F1 + · · · + Fn = 3F2 n−1 + n, although that is definitely not correct.   please explain the answer [ please dont use sigma ]

Advanced Engineering Mathematics
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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The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, . . . (where F0 = 0).

(a) Guess a formula for the sequence of partial sums expressed in terms of a single Fibonacci number. For example, you might say F0 + F1 + · · · + Fn = 3F2 n−1 + n, although that is definitely not correct.

 

please explain the answer

[ please dont use sigma ]

 

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