While the idea of a sequence of numbers is straightforward, it is useful to think of a sequence as a function. We have up until now dealt with functions whose domains are the real numbers, or a subset...While the idea of a sequence of numbers is straightforward, it is useful to think of a sequence as a function. We have up until now dealt with functions whose domains are the real numbers, or a subset of the real numbers, like f(x)=sinx. A sequence is a function with domain the natural numbers N={1,2,3,…} or the non-negative integers, Z≥0={0,1,2,3,…}. The range of the function is still allowed to be the real numbers; in symbols, we say that a sequence is a function f:N→R.
