(a) Define F: z - Z by the rule F(n) = 2 - 3n, for each integer n. (i) Is F one-to-one? Suppose n, and n, are any integers, such that F(n,) = F(n,). Substituting from the definition of F gives that 2 - 3n, = Solving this equation for n, and simplifying the result gives that n, = Therefore, Fis ---Select--- v. (ii) Show that Fis not onto. Counterexample: Let m = For this value of m, the only number n with the property that F(n) = m is not an integer. Thus, Fis not onto.

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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.