# Worksheet: Partial Sums

In this worksheet, we will practice finding the nth partial sum of a series, and determining the convergence or divergence of the series from the limit of its partial sum.

Q1:

Consider the series .

Give an exact expression for the partial sum .

• A
• B
• C
• D
• E

Is the series convergent?

• Ano
• Byes

Q2:

Find the partial sum for the series .

• A
• B
• C
• D
• E

Is the series convergent or divergent?

• AConvergent
• BDivergent

Q3:

Find the partial sum for the series .

• A
• B
• C
• D
• E

Is the series convergent or divergent?

• AConvergent
• BDivergent

Q4:

Find the partial sum for the series .

• A
• B
• C
• D
• E

Is the series convergent or divergent?

• AConvergent
• BDivergent

Q5:

Find the partial sum for the series .

• A
• B
• C
• D
• E

Is the series convergent or divergent?

• AConvergent
• BDivergent

Q6:

Use the sequence of partial sums to determine whether the series converges or diverges.

• AIt converges.
• BIt diverges.

Q7:

Use the sequence of partial sums to determine whether the series converges or diverges.

• AIt diverges.
• BIt converges.

Q8:

Evaluate the sequence of partial sums for the series .

• A
• B
• C
• D
• E

Q9:

Find the partial sum for the series .

• A
• B
• C
• D
• E

Does the series converge or diverge?

• AThe series converges.
• BThe series diverges.

Q10:

Find the partial sum of the series .

• A
• B
• C
• D
• E

Is the series convergent or divergent?

• AConvergent
• BDivergent

Q11:

Find the partial sum of the series .

• A
• B
• C
• D
• E

Does the series converge or diverge?

• AThe series converges.
• BThe series diverges.

Q12:

Find the partial sum of the series .

• A
• B
• C
• D
• E

Does the series converge or diverge?

• AThe series diverges.
• BThe series converges.

Q13:

Find the partial sum of the series .

• A
• B
• C
• D
• E

Is the series convergent or divergent?

• AConvergent
• BDivergent

Q14:

Find the partial sum of the series .

• A
• B
• C
• D
• E