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Worksheet: Integral Test for Series

In this worksheet, we will practice using the integral test for series to determine whether a series containing nonnegative terms is convergent.

Q1:

Is the series 8 8 4 + 8 8 4 9 + 8 8 4 8 1 + ⋯ convergent or divergent?

  • Aconvergent
  • Bdivergent

Q2:

Is the series 1 6 + 2 0 + 2 5 + ⋯ convergent or divergent?

  • Adivergent
  • Bconvergent

Q3:

Is the series 2 1 2 + 4 2 4 5 + 8 4 8 2 5 + ⋯ convergent or divergent?

  • Aconvergent
  • Bdivergent

Q4:

Is the series 9 − 1 2 + 1 6 − ⋯ convergent or divergent?

  • Adivergent
  • Bconvergent

Q5:

Is the series 8 4 5 − 8 4 5 7 + 8 4 5 4 9 − ⋯ convergent or divergent?

  • Aconvergent
  • Bdivergent

Q6:

Is the series 3 7 − 7 4 + 1 4 8 − ⋯ convergent or divergent?

  • Adivergent
  • Bconvergent

Q7:

Is the series 8 7 6 + 1 4 6 + 7 3 3 + ⋯ convergent or divergent?

  • Aconvergent
  • Bdivergent

Q8:

Is the infinite geometric series 1 0 + 6 + 1 8 5 + 5 4 2 5 + 1 6 2 1 2 5 + ⋯ convergent?

  • Ayes
  • Bno

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