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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

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter14: Sequences And Mathematical Induction
Section14.1: Arithmetic Sequences
Problem 77PS
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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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