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Arithmetic Sequence

Source: 1997 National High School Mathematics League, Exam One, Problem 3

March 4, 2020
arithmetic sequence

Problem Statement

The first item and common difference of an arithmetic sequence are nonnegative intengers. The number of items is not less than 33, and the sum of all items is 97297^2. Then the number of such sequences is (A)2(B)3(C)4(D)5\text{(A)}2\qquad\text{(B)}3\qquad\text{(C)}4\qquad\text{(D)}5
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