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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5. 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 = 3F,_1 + n, although that is definitely not п-1 correct.
Transcribed Image Text:5. 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 = 3F,_1 + n, although that is definitely not п-1 correct.
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