There are n children seated in a circle on the floor. The teacher walks behind the children in a clockwise direction with a box of candies. Starting from a given child, she drops a candy behind this child. She then skips one child and drops a candy behind the next child. Now, she skips two children and drops a candy behind the next child. She continues in this way, at each stage skipping one child more than at the preceding stage before dropping a candy behind the next child.
(a) For n = 4,5,6,7,8 determine which children will have been given candies and the corresponding number of candies given at the 9th stage.
(b) For those values of n in (a) above, which children do you think will never receive any candy? Prove it mathematically.
Can anyone pls help? Thanks!
2006-11-12
16:43:17
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2 answers
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asked by
sky_blue
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Mathematics