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.
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 70SE: Calculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a...
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