Mathematical Connections 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. 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 She writes the following statement. If n is a natural number, then n2 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?