(BC Calculus) P-Series and Geometric Series Convergence TEST

A geometric series will converge if...

• ∣r∣ < 1

• ∣r∣ ≥ 1

• ∣r∣ < 0

• ∣r∣ ≥ 0

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

A p-series will diverge if...

• p > 1

• p ≤ 1

• p ≤ 0

• p ≥ 0

What will this formula tell us?

• The partial sum of a geometric series.

• The common ratio of a geometric series.

• The sum of a convergent geometric series.

• The number of terms in a partial geometric series.

Which of these is NOT a p-series?

• None. They are all p-series

• A and C only

• B and D only

• C only

• D only

What series is this?

• P-series.

• Geometric series.

• Harmonic series.

• Alternating harmonic series.

A p-series will converge if...

• p ≤ 1

• p ≥ 1

• p > 1

• p = 1

What is the best test you would use to determine the convergence of this series?

• P-series Test

• Geometric series Test

• Test for divergence

• Integral test

• Limit of terms test

Does the series converge or diverge?

• Converge

• Diverge

• Impossible to tell

The infinite series is...

• harmonic

• a p-series

• geometric

• a Fibonacci series

• This infinite series converges.

• This infinite series diverges.