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Use induction to prove that x[sup](2n-1)[/sup]+y[sup](2n-1)[/sup] is divisible by x+y for n is the element of natural numbers
Give examples of functions N to N that are:
a) one-to-one but NOT onto
b) onto but NOT one-to-one
c) both
d) neither one-to-one nor onto
Number theory..
Prove or disprove that for every integer "n" there is a sequence of "n" consecutive composite numbers.(example- five consecutive composite numbers are 32,33,34,35,36)
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