MathDB

7

Part of 1998 Tuymaada Olympiad

Problems(1)

average of sum^2 of all possible sequences of numbers -1,+1 of length 100

Source: Tuymaada 1998 p7

4/28/2019
All possible sequences of numbers āˆ’1-1 and +1+1 of length 100100 are considered. For each of them, the square of the sum of the terms is calculated. Find the arithmetic average of the resulting values.
algebraarithmetic sequenceSequencesquareSum