(a)
To determine
To explain: The difference between the sequence and series.
Answer
A sequence is an ordered list of numbers and series is the sum of a list of numbers.
Explanation
Example:
The sequence is
2,4,6,8,10,⋯
.
The series is
2+4+6+8+10+⋯
.
(b)
To determine
To define: Convergent series and divergent series.
Explanation
If the sequence of partial sums of the series is convergent, then the series is said to be convergent series.
If the sequence of partial sums of the series is divergent, then the series is said to be divergent series.