Darryl wants to determine all the value of k for which n is divisible by . He begins this k − n k
investigation with some values of k = 2, 3, 4, 5, 6 ,...
a) For k = 2 , write n as the product of two consecutive integers. And show that 2 − n
this is divisible by 2. [Hint: consider the case when n is odd and even]
b) For k = 3 , write n as the product of three consecutive integers. And show 3 − n
that this is divisible by 3.
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b............-& c.............
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