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7. Recall the Fibonacci sequence: fn = fn=1 + fa-2 with fo = 1, fi = 1. (a,. . Fill in the following table: |2 |3 |4 |5 |6 7 |8 9 10 11 fn+2 + fn=2 XX XX XX XX (Ь) of a single Fibonacci number (meaning your answer should look samething like Sa+2+ Sam2 = 17 fa-9 -6. The actual answer is much simpler than that.). Make a conjecture for the general formula for fa+2 + fa-2 in terms Drove your conjecture from part (b) using induction or using the (stan- (c dard) Fibonacci recurrence multiple times.

7. Recall the Fibonacci sequence: fn = fn=1 + fa-2 with fo = 1, fi = 1. (a,. . Fill in the following table: |2 |3 |4 |5 |6 7 |8 9 10 11 fn+2 + fn=2 XX XX XX XX (Ь) of a single Fibonacci number (meaning your answer should look samething like Sa+2+ Sam2 = 17 fa-9 -6. The actual answer is much simpler than that.). Make a conjecture for the general formula for fa+2 + fa-2 in terms Drove your conjecture from part (b) using induction or using the (stan- (c dard) Fibonacci recurrence multiple times.

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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7. Recall the Fibonacci sequence: fn = fn-1 + fn-2 with fo = 1, fi = 1. (a,. . Fill in the following table: 1 2 3 4 5 6 7 8 9 10 11 fn+2 + fn-2 XX XX XX XX (b) of a single Fibonacci number (me aning your answer should look something like Sn+2 + fn=2 = 17 f249 - 6. The actual answer is much simpler than that.). Make a conjecture for the general formula for fn+2 + fn=2 in terms (c dard) Fibonacci recurrence multiple times. Drove your conjecture from part (b) using induction or using the (stan-
Transcribed Image Text:7. Recall the Fibonacci sequence: fn = fn-1 + fn-2 with fo = 1, fi = 1. (a,. . Fill in the following table: 1 2 3 4 5 6 7 8 9 10 11 fn+2 + fn-2 XX XX XX XX (b) of a single Fibonacci number (me aning your answer should look something like Sn+2 + fn=2 = 17 f249 - 6. The actual answer is much simpler than that.). Make a conjecture for the general formula for fn+2 + fn=2 in terms (c dard) Fibonacci recurrence multiple times. Drove your conjecture from part (b) using induction or using the (stan-
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