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11. Establish the following relation between Fibonacci and Lucas numbers: L,=u, + 2u,-1

11. Establish the following relation between Fibonacci and Lucas numbers: L,=u, + 2u,-1

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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Question 11

key eneryption scheme is similar to RSA. Research this cryptosystem and de following ciphertext: 25292168 which was encrypted for a user with public key n = 27219809. 9. Prove that 9|u,124 if and only if 9 u,. Hint: Use identity (1) on page 288. 10. Establish the following Fibonacci identity: "n+8 Un18 = U, (mod 3) 11. Establish the following relation between Fibonacci and Luens numbersi L.u, +2u1 for all 2 2,
Transcribed Image Text:key eneryption scheme is similar to RSA. Research this cryptosystem and de following ciphertext: 25292168 which was encrypted for a user with public key n = 27219809. 9. Prove that 9|u,124 if and only if 9 u,. Hint: Use identity (1) on page 288. 10. Establish the following Fibonacci identity: "n+8 Un18 = U, (mod 3) 11. Establish the following relation between Fibonacci and Luens numbersi L.u, +2u1 for all 2 2,
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