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v= 2uw/(u+w)

Source: 2010 Argentina OMA Finals L3 p5

January 15, 2023

algebra

Problem Statement

21

numbers are written in a row.

u,v,w

are three consecutive numbers so

v=\frac{2uw}{u+w}

. The first number is

\frac{1}{100}

, the last one is

\frac{1}{101}

. Find the

15

th number.

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