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Chapter A, Problem 1E

Using Mathematical Induction In Exercises 1 - 4 , use mathematical induction to prove the formula for every positive integer n .

1 + 2 + 3 + . . . + n = n ( n + 1 ) 2

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Complete the table below. For solutions, round to the nearest whole number.
Let the universal set be whole numbers 1 through 20 inclusive. That is, U = {1, 2, 3, 4, . . ., 19, 20}. Let A, B, and C be subsets of U. Let A be the set of all prime numbers: A = {2, 3, 5, 7, 11, 13, 17, 19} Let B be the set of all odd numbers: B = {1,3,5,7, . . ., 17, 19} Let C be the set of all square numbers: C = {1,4,9,16}
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