Worksheet: Alternating Series Test
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 alternating in sign
- Bbecause
- Cbecause the terms are not decreasing
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.
- CThe series diverges.
- DWe cannot conclude anything.
Q6:
Determine whether the series converges or diverges.
- AIt converges.
- BIt diverges.
Q7:
Determine whether the series converges or diverges.
- AIt converges.
- BIt diverges.
Q8:
Determine whether the series converges or diverges.
- AIt diverges.
- BIt converges.
Q9:
Determine whether the series converges or diverges.
- AIt diverges.
- BIt converges.
Q10:
Determine whether the series converges or diverges.
- AIt diverges.
- BIt converges.