This seems like an easy yet complex task to do but I'll try to help you out. Let's see... sentences that use the word "Finite".
Examples:
-"There is a finite number of baseballs, beanbags, and balloons."
-"This idea that there are a finite number of jobs misses the point entirely of what makes a job."
To find examples such as these you could also go to: yourdictionary.com
Now if you ask for my opinion in what a finite sequence might refer to.. I couldn't tell you in my direct words since I don't understand this concept well just the definition (An infinite sequence is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integers) Whatis.techtarget.com. If I were you I'd explain all this in my own words.
I think this is a K12 question and finite sequence is used most in Mathematics so I suppose that this belongs more in the Mathematics area. However I say this only as a suggestion.