Concept explainers
A perfect square is a number that can be written as
a. Check that the following statement is true for 4 different cases. How many cases do you need to try to conclude that the statement is true?
“1 plus the product of any four consecutive whole numbers is always a perfect square”
b. Prove that the sum of first n odd numbers is a perfect square.
c. Find all perfect square numbers that are 9 more than some prime number. Explain how you know that you found all such square numbers. (Hint: Recall from Chapter 3 that
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A PROBLEM SOLVING APPROACH TO MATHEMATI
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell