daytonalive6511
daytonalive6511
17.09.2021 • 
Mathematics

Abby notices that for the first twenty perfect​ squares, each square is either a multiple of​ 5, one less than a multiple of​ 5, or one more than a multiple of 5. She writes the following statement. If n is a natural​ number, then n can be written as 5k​1, ​5k, or 5k​1, where k is a whole number.
What type of statement did Abby​ make? Has she shown that her statement is true for all values of​ n? Explain.
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