This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

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Found problems: 2

2021 Tuymaada Olympiad, 5
Tags: trigonometry , algebra , progressions , arithmetic sequence , geometric sequence
Sines of three acute angles form an arithmetic progression, while the cosines of these angles form a geometric progression. Prove that all three angles are equal.

2020 Moldova Team Selection Test, 1
Tags: progressions , Arithmetic Progression , geometric progression , number theory
All members of geometrical progression $(b_n)_{n\geq1}$ are members of some arithmetical progression. It is known that $b_1$ is an integer. Prove that all members of this geometrical progression are integers. (progression is infinite)