Let A1776 be the set { 1, 1/2, 1/3,
..., 1/1776 }
Remove any two elements, say a and b, from A1776, and
replace them with the single number ab+a+b to form set A1775.
Continue in this manner, until you have performed 1775 such operations, to
form set A1, which contains a single element.
What is this element?
Prove it! |
