MathDB

2

Part of 1976 Canada National Olympiad

Problems(1)

Positive integers

Source: Canadian Mathematical Olympiad 1976 Problem 2

10/23/2008
Suppose n(n\plus{}1)a_{n\plus{}1}\equal{}n(n\minus{}1)a_n\minus{}(n\minus{}2)a_{n\minus{}1} for every positive integer n≥1 n\ge1. Given that a_0\equal{}1,a_1\equal{}2, find \frac{a_0}{a_1}\plus{}\frac{a_1}{a_2}\plus{}\frac{a_2}{a_3}\plus{}\dots\plus{}\frac{a_{50}}{a_{51}}.
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