In Example 2.52 why didn't we include the odd integers between 2 and 26? Suppose that we
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Suppose that we start with the universe that comprises only the 13 integers 2, 4, 6, 8,..., 24, 26. Then we can establish the statement:
For all n (meaning n = 2, 4, 6, ... , 26),
we can write n as the sum of at most three perfect squares.
The results in Table 2.24 provide a case-by-case verification showing the given (quantified) statement to be true. (We might call this statement a theorem.)
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Related Book For 
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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