MATH SOLVE

3 months ago

Q:
# A) what is the difference between a sequence and a series? a series is an unordered list of numbers whereas a sequence is the sum of a list of numbers. a sequence is an ordered list of numbers whereas a series is an unordered list of numbers. a sequence is an unordered list of numbers whereas a series is the sum of a list of numbers. a series is an ordered list of numbers whereas a sequence is the sum of a list of numbers. a sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.

Accepted Solution

A:

Answer:a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.(b) A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.Step-by-step explanation:A sequence is a list of numbers in which the order of numbers listed is important, so for instance; 1, 2, 3, 4, 5, ...is one sequence, and 2, 1, 4, 3, 6, 5, ...is an entirely different sequence.A series is a sum of numbers in a list. For example, 1 + 1/2 + 1/4 + 1/8 + 1/16 + ...is an example of a series. A series is composed of a sequence of terms that are added up.A divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit. If a series converges, the individual terms of the series must approach zero.