Chapter 2.1, Problem 62ES

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4th Edition

Richard N. Aufmann + 3 others

ISBN: 9781305965584

Textbook Problem

In Exercises 53 to 62, find the cardinality of each of the following sets. For some exercises you may need to consult a reference, such as the Internet or an encyclopedia.

{7, 11, 15, 19, 23, 27, ..., 407}

To determine

Find the cardinality of following sets.

Explanation

**Given:**

â€ƒâ€ƒ

**Calculation:**

CardinalityÂ isÂ aÂ mathematicalÂ termÂ describingÂ theÂ sizeÂ ofÂ aÂ particularÂ setÂ ofÂ elements.Â Therefore,Â aÂ cardinalÂ numberÂ isÂ representedÂ asÂ aÂ nonÂ -Â negativeÂ integerÂ identifyingÂ theÂ exactÂ numberÂ ofÂ elementsÂ inÂ aÂ finiteÂ set.

Given set,

First element,

Common difference,

Sect-2.1 P-1EESect-2.1 P-2EESect-2.1 P-3EESect-2.1 P-4EESect-2.1 P-5EESect-2.1 P-1ESSect-2.1 P-2ESSect-2.1 P-3ESSect-2.1 P-4ESSect-2.1 P-5ES

Sect-2.1 P-6ESSect-2.1 P-7ESSect-2.1 P-8ESSect-2.1 P-9ESSect-2.1 P-10ESSect-2.1 P-11ESSect-2.1 P-12ESSect-2.1 P-13ESSect-2.1 P-14ESSect-2.1 P-15ESSect-2.1 P-16ESSect-2.1 P-17ESSect-2.1 P-18ESSect-2.1 P-19ESSect-2.1 P-20ESSect-2.1 P-21ESSect-2.1 P-22ESSect-2.1 P-23ESSect-2.1 P-24ESSect-2.1 P-25ESSect-2.1 P-26ESSect-2.1 P-27ESSect-2.1 P-28ESSect-2.1 P-29ESSect-2.1 P-30ESSect-2.1 P-31ESSect-2.1 P-32ESSect-2.1 P-33ESSect-2.1 P-34ESSect-2.1 P-35ESSect-2.1 P-36ESSect-2.1 P-37ESSect-2.1 P-38ESSect-2.1 P-39ESSect-2.1 P-40ESSect-2.1 P-41ESSect-2.1 P-42ESSect-2.1 P-43ESSect-2.1 P-44ESSect-2.1 P-45ESSect-2.1 P-46ESSect-2.1 P-47ESSect-2.1 P-48ESSect-2.1 P-49ESSect-2.1 P-50ESSect-2.1 P-51ESSect-2.1 P-52ESSect-2.1 P-53ESSect-2.1 P-54ESSect-2.1 P-55ESSect-2.1 P-56ESSect-2.1 P-57ESSect-2.1 P-58ESSect-2.1 P-59ESSect-2.1 P-60ESSect-2.1 P-61ESSect-2.1 P-62ESSect-2.1 P-63ESSect-2.1 P-64ESSect-2.1 P-65ESSect-2.1 P-66ESSect-2.1 P-67ESSect-2.1 P-68ESSect-2.1 P-69ESSect-2.1 P-70ESSect-2.1 P-71ESSect-2.1 P-72ESSect-2.1 P-73ESSect-2.1 P-74ESSect-2.1 P-75ESSect-2.1 P-76ESSect-2.1 P-77ESSect-2.1 P-78ESSect-2.1 P-79ESSect-2.1 P-80ESSect-2.1 P-81ESSect-2.1 P-82ESSect-2.1 P-83ESSect-2.1 P-84ESSect-2.1 P-85ESSect-2.1 P-86ESSect-2.1 P-87ESSect-2.1 P-88ESSect-2.1 P-89ESSect-2.1 P-90ESSect-2.2 P-1EESect-2.2 P-2EESect-2.2 P-3EESect-2.2 P-4EESect-2.2 P-5EESect-2.2 P-1ESSect-2.2 P-2ESSect-2.2 P-3ESSect-2.2 P-4ESSect-2.2 P-5ESSect-2.2 P-6ESSect-2.2 P-7ESSect-2.2 P-8ESSect-2.2 P-9ESSect-2.2 P-10ESSect-2.2 P-11ESSect-2.2 P-12ESSect-2.2 P-13ESSect-2.2 P-14ESSect-2.2 P-15ESSect-2.2 P-16ESSect-2.2 P-17ESSect-2.2 P-18ESSect-2.2 P-19ESSect-2.2 P-20ESSect-2.2 P-21ESSect-2.2 P-22ESSect-2.2 P-23ESSect-2.2 P-24ESSect-2.2 P-25ESSect-2.2 P-26ESSect-2.2 P-27ESSect-2.2 P-28ESSect-2.2 P-29ESSect-2.2 P-30ESSect-2.2 P-31ESSect-2.2 P-32ESSect-2.2 P-33ESSect-2.2 P-34ESSect-2.2 P-35ESSect-2.2 P-36ESSect-2.2 P-37ESSect-2.2 P-38ESSect-2.2 P-39ESSect-2.2 P-40ESSect-2.2 P-41ESSect-2.2 P-42ESSect-2.2 P-43ESSect-2.2 P-44ESSect-2.2 P-45ESSect-2.2 P-46ESSect-2.2 P-47ESSect-2.2 P-48ESSect-2.2 P-49ESSect-2.2 P-50ESSect-2.2 P-51ESSect-2.2 P-52ESSect-2.2 P-53ESSect-2.2 P-54ESSect-2.2 P-55ESSect-2.2 P-56ESSect-2.2 P-57ESSect-2.2 P-58ESSect-2.2 P-59ESSect-2.2 P-60ESSect-2.2 P-61ESSect-2.2 P-62ESSect-2.2 P-63ESSect-2.2 P-64ESSect-2.3 P-1EESect-2.3 P-2EESect-2.3 P-3EESect-2.3 P-4EESect-2.3 P-5EESect-2.3 P-6EESect-2.3 P-7EESect-2.3 P-1ESSect-2.3 P-2ESSect-2.3 P-3ESSect-2.3 P-4ESSect-2.3 P-5ESSect-2.3 P-6ESSect-2.3 P-7ESSect-2.3 P-8ESSect-2.3 P-9ESSect-2.3 P-10ESSect-2.3 P-11ESSect-2.3 P-12ESSect-2.3 P-13ESSect-2.3 P-14ESSect-2.3 P-15ESSect-2.3 P-16ESSect-2.3 P-17ESSect-2.3 P-18ESSect-2.3 P-19ESSect-2.3 P-20ESSect-2.3 P-21ESSect-2.3 P-22ESSect-2.3 P-23ESSect-2.3 P-24ESSect-2.3 P-25ESSect-2.3 P-26ESSect-2.3 P-27ESSect-2.3 P-28ESSect-2.3 P-29ESSect-2.3 P-30ESSect-2.3 P-31ESSect-2.3 P-32ESSect-2.3 P-33ESSect-2.3 P-34ESSect-2.3 P-35ESSect-2.3 P-36ESSect-2.3 P-37ESSect-2.3 P-38ESSect-2.3 P-39ESSect-2.3 P-40ESSect-2.3 P-41ESSect-2.3 P-42ESSect-2.3 P-43ESSect-2.3 P-44ESSect-2.3 P-45ESSect-2.3 P-46ESSect-2.3 P-47ESSect-2.3 P-48ESSect-2.3 P-49ESSect-2.3 P-50ESSect-2.3 P-51ESSect-2.3 P-52ESSect-2.3 P-53ESSect-2.3 P-54ESSect-2.3 P-55ESSect-2.3 P-56ESSect-2.3 P-57ESSect-2.3 P-58ESSect-2.3 P-59ESSect-2.3 P-60ESSect-2.3 P-61ESSect-2.3 P-62ESSect-2.3 P-63ESSect-2.3 P-64ESSect-2.3 P-65ESSect-2.3 P-66ESSect-2.3 P-67ESSect-2.3 P-68ESSect-2.3 P-69ESSect-2.3 P-70ESSect-2.3 P-71ESSect-2.3 P-72ESSect-2.3 P-73ESSect-2.3 P-74ESSect-2.3 P-75ESSect-2.3 P-76ESSect-2.3 P-77ESSect-2.3 P-78ESSect-2.3 P-79ESSect-2.3 P-80ESSect-2.4 P-1EESect-2.4 P-2EESect-2.4 P-3EESect-2.4 P-1ESSect-2.4 P-2ESSect-2.4 P-3ESSect-2.4 P-4ESSect-2.4 P-5ESSect-2.4 P-6ESSect-2.4 P-7ESSect-2.4 P-8ESSect-2.4 P-9ESSect-2.4 P-10ESSect-2.4 P-11ESSect-2.4 P-12ESSect-2.4 P-13ESSect-2.4 P-14ESSect-2.4 P-15ESSect-2.4 P-16ESSect-2.4 P-17ESSect-2.4 P-18ESSect-2.4 P-19ESSect-2.4 P-20ESSect-2.4 P-21ESSect-2.4 P-22ESSect-2.4 P-23ESSect-2.4 P-24ESSect-2.4 P-25ESSect-2.4 P-26ESSect-2.4 P-27ESSect-2.4 P-28ESSect-2.4 P-29ESSect-2.4 P-30ESSect-2.4 P-31ESSect-2.4 P-32ESSect-2.5 P-1EESect-2.5 P-2EESect-2.5 P-3EESect-2.5 P-1ESSect-2.5 P-2ESSect-2.5 P-3ESSect-2.5 P-4ESSect-2.5 P-5ESSect-2.5 P-6ESSect-2.5 P-7ESSect-2.5 P-8ESSect-2.5 P-9ESSect-2.5 P-10ESSect-2.5 P-11ESSect-2.5 P-12ESSect-2.5 P-13ESSect-2.5 P-14ESSect-2.5 P-15ESSect-2.5 P-16ESSect-2.5 P-17ESSect-2.5 P-18ESSect-2.5 P-19ESSect-2.5 P-20ESSect-2.5 P-21ESSect-2.5 P-22ESSect-2.5 P-23ESSect-2.5 P-24ESSect-2.5 P-25ESSect-2.5 P-26ESSect-2.5 P-27ESSect-2.5 P-28ESSect-2.5 P-29ESSect-2.5 P-30ESCh-2 P-1RECh-2 P-2RECh-2 P-3RECh-2 P-4RECh-2 P-5RECh-2 P-6RECh-2 P-7RECh-2 P-8RECh-2 P-9RECh-2 P-10RECh-2 P-11RECh-2 P-12RECh-2 P-13RECh-2 P-14RECh-2 P-15RECh-2 P-16RECh-2 P-17RECh-2 P-18RECh-2 P-19RECh-2 P-20RECh-2 P-21RECh-2 P-22RECh-2 P-23RECh-2 P-24RECh-2 P-25RECh-2 P-26RECh-2 P-27RECh-2 P-28RECh-2 P-29RECh-2 P-30RECh-2 P-31RECh-2 P-32RECh-2 P-33RECh-2 P-34RECh-2 P-35RECh-2 P-36RECh-2 P-37RECh-2 P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-55RECh-2 P-56RECh-2 P-57RECh-2 P-58RECh-2 P-59RECh-2 P-60RECh-2 P-61RECh-2 P-62RECh-2 P-63RECh-2 P-64RECh-2 P-65RECh-2 P-66RECh-2 P-67RECh-2 P-68RECh-2 P-69RECh-2 P-70RECh-2 P-71RECh-2 P-72RECh-2 P-1TCh-2 P-2TCh-2 P-3TCh-2 P-4TCh-2 P-5TCh-2 P-6TCh-2 P-7TCh-2 P-8TCh-2 P-9TCh-2 P-10TCh-2 P-11TCh-2 P-12TCh-2 P-13TCh-2 P-14TCh-2 P-15TCh-2 P-16TCh-2 P-17TCh-2 P-18TCh-2 P-19TCh-2 P-20T

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