4. (a) Let Q= { a, b e Z, b+0, gcd(a, b) = 1 be the set of rational numbers. An integer p is called a prime number if p has only two factors; 1 and p itself Prove that p is not a rational number. Hence or otherwise verify the irrationality of V3. (b) Consider the statement: if r 0, then r

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.