Question

What is the difference between saying, a sequence is convergent/divergent and a series is convergent/divergent?

Answer 1

Well whether we are talking about a series or a sequence, the terms convergent and divergent mean the same thing for both. Convergent means that eventually when we take an incredibly large number in the series or sequence we will get a finite number and divergent means that as we approach infinity with the number of terms we are at we will get infinity as our answer

Answer 2

let me elaborate a little more on that

Answer 3

a sequence is just a list of numbers - the list doesn't have to be linear or anything like that, it follows an equation based on what number in the sequence you are

Answer 4

so for example we could have the sequence...