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Can you find a formula or rule for the nth term of a

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 47E Chapter 4.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 47E

Can you find a formula or rule for the nth term of a se­quence related to the prime numbers or prime factoriza­tions so that the initial terms of the sequence have these values?a) 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1.....________________b) 1, 2, 3, 2, 5, 2, 7, 2, 3, 2, 11, 2, 13, 2......________________c) 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4......________________d) 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1......________________e) 1, 2, 3, 3, 5, 5, 7, 7, 7, 7, 11, 11, 13, 13.....________________f) 1, 2, 6, 30, 210, 2310, 30030, 510510, 9699690, 223092870....

Step-by-Step Solution:

Solution : Step 1 : In this problem we have to find a formula or rule for the nth term of a se­quence.1. Given the sequence 0,1,1,0,1,0,0,0,1,0,1……...Rule of term is Where “p” is the prime number.

Step 2 of 6

Chapter 4.3, Problem 47E is Solved
Step 3 of 6

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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