(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.