MathDB
BMT 2015 Spring - Individual Tiebreaker #2

Source:

August 12, 2023
algebra

Problem Statement

Let Sn=1+2+,,,+nS_n = 1 + 2 + ,,, + n. Define Tn=S2S2−1⋅S3S3−1⋅...⋅SnSn−1.T_n =\frac{S_2}{S_2- 1}\cdot \frac{S_3}{S_3 - 1}\cdot ... \cdot \frac{S_n}{S_n - 1}. Find T2015.T_{2015}.
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