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ne numbers the Fibonacci quence, could the next number be ays odd or even? Choose the best ino thot noworg thio quootion

ne numbers the Fibonacci quence, could the next number be ays odd or even? Choose the best ino thot noworg thio quootion

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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Given that you have two consecutive prime numbers the Fibonacci sequence, could the next number be always odd or even? Choose the best choice that answers this question. a. It'l be always odd since we have 2 and 3 at the first part of the Fibonacci sequence. These numbers are prime numbers and their sum is an odd number. O b. The next number will always be even since we have 3 and 5 at the first part of the Fibonacci sequence. These numbers sum up to an even number. c. The next number will always be even since we have 1 and 1 at the start of the Fibonacci sequence. These will sum up to an even number. d. The next number will always be even except for the instance when the two prime numbers being considered are 2 and 3. The rest of the prime numbers, when added, will sum up to an even number. e. The next number will always be an even number since the sum of two prime numbers is always an even number.
Transcribed Image Text:Given that you have two consecutive prime numbers the Fibonacci sequence, could the next number be always odd or even? Choose the best choice that answers this question. a. It'l be always odd since we have 2 and 3 at the first part of the Fibonacci sequence. These numbers are prime numbers and their sum is an odd number. O b. The next number will always be even since we have 3 and 5 at the first part of the Fibonacci sequence. These numbers sum up to an even number. c. The next number will always be even since we have 1 and 1 at the start of the Fibonacci sequence. These will sum up to an even number. d. The next number will always be even except for the instance when the two prime numbers being considered are 2 and 3. The rest of the prime numbers, when added, will sum up to an even number. e. The next number will always be an even number since the sum of two prime numbers is always an even number.
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