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9.34. The Fibonacci sequence is defined as F1 = 1, F2 = 1, and F, = Fn-1+ F„-2 for n > 3. Calculate the sum %3D F + F2 + •… + Fn using the Fundamental Theorem of Summation.

9.34. The Fibonacci sequence is defined as F1 = 1, F2 = 1, and F, = Fn-1+ F„-2 for n > 3. Calculate the sum %3D F + F2 + •… + Fn using the Fundamental Theorem of Summation.

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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First find the differece and antidifference of the Fibonacci term Fx, and then apply the Fundamental Theorem of Summation

Theorem 9.21 (Fundamental Theorem of Summation). Let f be a function from the set of integers to the set of real numbers, and let F be an antidifference of f. Then E S(k) = F(b+1) – F(a). k-a
Transcribed Image Text:Theorem 9.21 (Fundamental Theorem of Summation). Let f be a function from the set of integers to the set of real numbers, and let F be an antidifference of f. Then E S(k) = F(b+1) – F(a). k-a
9.34. The Fibonacci sequence is defined as F1 = 1, F2 = 1, and F, = Fn-1+ Fn-2 for n> 3. Calculate the sum F1 + F2 + ... + Fn using the Fundamental Theorem of Summation.
Transcribed Image Text:9.34. The Fibonacci sequence is defined as F1 = 1, F2 = 1, and F, = Fn-1+ Fn-2 for n> 3. Calculate the sum F1 + F2 + ... + Fn using the Fundamental Theorem of Summation.
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