Chapter 10 - Section 10.1 - Sequences and Summation Notation - Exercise Set - Page 1050: 73

See below.

Let us consider $a_1,a_2....a_n$ to be the function terms of a sequence. An infinite sequence is defined as a function whose domain is the set of positive integers. A finite sequence is defined as a function whose domain only consists of the first $n$ positive integers. For example: $7,10, 13,16, ....3n+4,....$