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# Tag Archives: Algebra

## [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 10

2013 AIME I 10. There are nonzero integers , , , and such that the complex number is a zero of the polynomial . For each possible combination of and , let be the sum of the zeroes of .Find the sum … Continue reading

## 2013 AIME I Problem 10

## [Soln] 2013 AIME I Problem 8

2013 AIME I 8. The domain of the function is a closed interval of length , where and are positive integers and . Find the remainder when the smallest possible sum is divided by 1000.

## 2013 AIME I Problem 8

## [Soln] 2013 AIME I Problem 5

2013 AIME I 5. The real root of the equation can be written in the form , where , , and are positive integers. Find .