# Worksheet: Conditional and Absolute Convergence

In this worksheet, we will practice determining if a series is absolutely convergent, conditionally convergent, or divergent.

Q1:

Consider the series .

Decide whether the series is absolutely convergent, conditionally convergent, or divergent.

• BConditionally convergent
• CAbsolutely convergent

Q2:

Consider the series .

Decide whether the series is absolutely convergent, conditionally convergent, or divergent.

• AAbsolutely convergent
• BConditionally convergent
• CDivergent

Q3:

State whether the series converges absolutely, conditionally, or not at all.

• AIt converges absolutely.
• BIt does not converge at all.
• CIt converges conditionally.

Q4:

State whether the series converges absolutely, conditionally, or not at all.

• AIt converges conditionally.
• BIt converges absolutely.
• CIt does not converge at all.

Q5:

State whether the series converges absolutely, conditionally, or not at all.

• AIt converges absolutely.
• BIt converges conditionally.
• CIt does not converge at all.

Q6:

State whether the series converges absolutely, conditionally, or not at all.

• AIt converges conditionally.
• BIt does not converge at all.
• CIt converges absolutely.

Q7:

State whether the series converges absolutely, conditionally, or not at all.

• AIt converges absolutely.
• BIt does not converge at all.
• CIt converges conditionally.

Q8:

Consider the series .

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

• AConditionally convergent
• BDivergent
• CAbsolutely convergent

Q9:

Consider the series . Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

• AConditionally convergent
• BDivergent
• CAbsolutely convergent

Q10:

Consider the series . Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

• AConditionally convergent
• BAbsolutely convergent
• CDivergent

Q11:

Determine if the series is absolutely convergent, conditionally convergent, or divergent.

• AAbsolutely convergent
• BConditionally convergent
• CDivergent

Q12:

Determine if the series is absolutely convergent, conditionally convergent, or divergent.

• AAbsolutely convergent
• BConditionally convergent
• CDivergent

Q13:

Determine if the series is absolutely convergent, conditionally convergent, or divergent.

• AAbsolutely convergent
• BConditionally convergent
• CDivergent

Q14:

Determine if the series is absolutely convergent, conditionally convergent, or divergent.

• BConditionally convergent
• CAbsolutely convergent

Q15:

Determine if the series is absolutely convergent, conditionally convergent, or divergent.

• AConditionally convergent
• BDivergent
• CAbsolutely convergent

Q16:

Is the alternating harmonic series absolutely convergent, conditionally convergent, or divergent?

• AConditionally convergent
• BConvergent
• CDivergent

Q17:

Is the series absolutely convergent?

• ANo
• BYes