# Lesson Worksheet: Alternating Series Test Mathematics • Higher Education

In this worksheet, we will practice determining whether an alternating series is convergent or divergent using the alternating series test.

Q1:

The alternating series test does not apply to the series . What is the reason?

• Abecause the terms are not decreasing
• Bbecause
• Cbecause the terms are not alternating in sign

Q2:

Is the series an alternating series?

• AYes
• BNo

Q3:

Determine whether the series converges or diverges.

• AIt diverges.
• BIt converges.

Q4:

What can you conclude about the convergence of the series ?

• AThe series converges conditionally.
• BWe cannot conclude anything.
• CThe series converges absolutely.
• DThe series diverges.

Q5:

What can you conclude about the convergence of the series ?

• AThe series converges conditionally.
• BThe series converges absolutely.
• CWe cannot conclude anything.
• DThe series diverges.

Q6:

Determine whether the series converges or diverges.

• AIt diverges.
• BIt converges.

Q7:

Determine whether the series converges or diverges.

• AIt converges.
• BIt diverges.

Q8:

Determine whether the series converges or diverges.

• AIt converges.
• BIt diverges.

Q9:

Determine whether the series converges or diverges.

• AIt diverges.
• BIt converges.

Q10:

Determine whether the series converges or diverges.

• AIt converges.
• BIt diverges.