Join the USAMO Guide Discord Server. Regular updates are posted there!

Let me Join!
Dismiss

Problem 25 (1992 AJHSME)

AJHSMENormal

From module Telescoping Sums and Products

Problem

One half of the water is poured out of a full container. Then one third of the remainder is poured out. Continue the process: one fourth of the remainder for the third pouring, one fifth of the remainder for the fourth pouring, etc. After how many pourings does exactly one tenth of the original water remain?

Select an answer

Show me the solution

← Back to all problems