article
Sum the Series
This article by Alex Goodwin, age 18 of Madras College, St Andrews
describes how to find the sum of 1 + 22 + 333 + 4444 + ... to n
terms.
Beautiful mathematics. Two 18 year old students gave eight different proofs of one result then generalised it from the 3 by 1 case to the n by 1 case and proved the general result.
Jennie tried the Approaching Midnight game and wondered if it matters whether you go first or second.
Bernard played Approaching Midnight and wondered whether the start time affects who wins.