## College Algebra (6th Edition)

as n gets larger, $a_{n}$ gets closer and closer to $0$ .
The general term of the sequence is defined as a function of the index n, (a positive integer): $a_{m}=f(n)$ , Graphing utility used: online (free) graphing calculator desmos.com. Desmos has the option of defining element lists. For the wanted n:[0,1000,100] there are 10 terms, indexed $a_{100},a_{200}, ..., a_{1000}$, which is why we define a 10 element list, $i$ = $[1...10]$, and then multiply each index by 100 $(n=100i)$ Graph of the sequence consists of the points $(n,f(n))$ Here, as n gets larger, $a_{n}$ gets closer and closer to $0$.