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[Soln] 2016 Putnam Problem B1
2016 Putnam B1. Let be the sequence such that and for , (as usual, the function is the natural logarithm. Show that the infinite series converges and find its sum. Advertisements
2016 Putnam Problem B1
2016 Putnam B1. Let be the sequence such that and for , (as usual, the function is the natural logarithm. Show that the infinite series converges and find its sum.
[Soln] 2013 AIME I Problem 15
2013 AIME I 15. Let be the number of ordered triples of integers satisfying the conditions (a) , (b) there exist integers , , and , and prime where , (c) divides , , and , and (d) each ordered triple … Continue reading
2013 AIME I Problem 15
2013 AIME I 15. Let be the number of ordered triples of integers satisfying the conditions (a) , (b) there exist integers , , and , and prime where , (c) divides , , and , and (d) each ordered triple … Continue reading
[Soln] 2013 AIME I Problem 14
2013 AIME I 14. For , let and so that . Then where and are relatively prime positive integers. Find .
2013 AIME I Problem 14
2013 AIME I 14. For , let and so that . Then where and are relatively prime positive integers. Find .
[Soln] 2013 AIME I Problem 13
2013 AIME I 13. Triangle has side lengths , , . For each positive integer , points and are located on and respectively, creating three similar triangles . The area of the union of all triangles for can be expressed as , where and are relatively prime … Continue reading
