pile of colourful balls are arranged to make a square based pyramid by
having one ball on the top layer, four balls on the second layer, nine balls
on the third layer, and so on. Such that consecutive layers will have a
number of balls equal to consecutive square numbers.
This is the pattern observed for number of balls in consecutive layers
1, 4, 9, 16, 25, ...
• If there were one-thousand balls in the pile used to make the
pyramid not all of them would be needed. How many balls would
be left over?
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