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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.3 - Problem 48e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.3 - Problem 48e

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

ISBN: 9780073383095 37

## Solution for problem 48E Chapter 4.3

Discrete Mathematics and Its Applications | 7th Edition

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Problem 48E

Problem 48E

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) 2, 2, 3, 5, 5, 7, 7, 11, 11, 11, 11, 13, 13.....

b) 0, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6.........

c)  1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1....

d) 1, -1, -1, 0, -1, 1, -1, 0, 0, 1, -1, 0,-1, 1, 1.....

e) 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0.......

f) 4, 9, 25, 49, 121, 169, 289, 361, 529, 841, 961, 1369....

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 2, 2, 3, 5, 5, 7, 7, 11, 11, 11, 11, 13, 13.....

Rule of term is

Where “p” is the set of prime number.

Step 2 of 6

Step 3 of 6

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