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This problem was very accessible and all the solutions received were neat and concise and similar to the one below.
Congratulations to Ashley of Bentley Park College, Sana, Jenny,
Chris and Rosion of Madras College, St. Andrews, as well as
Mary of Birchwood High School, Andrei of School 205 Bucharest, Chen
of the Chineses High School, Singapore.
In this 903-digit number, the first 900 digits comprise 1, 2, 3, 4, 5 as a sequence of recurring digits with the last three digits being being 1,2 and 3.
Thus, the sum of all the digits = (900/5) x (1+2+3+4+5)+1+2+3 = 180x15+6 = 2706
These two group activities use mathematical reasoning - one is numerical, one geometric.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.