series convergence and divergence BC Calculus

Σ 1/n

• Harmonic
• P-series
• Geometric
• Fibonacci

Σ 3(4/5)ⁿ

• Harmonic
• P-series
• Geometric
• Taylor

Tags

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2

Σ11/n⁶

• Harmonic
• P-series
• Geometric
• Maclaurin

Does Σ4/√n converge or diverge?

• Converge
• Diverge
• Impossible to tell

Does Σ 1/n! converge or diverge?

• Converge
• Diverge
• Impossible to tell

Does Σ πⁿ converge or diverge?

• Converge
• Diverge
• Impossible to tell

What is the sum of Σ 3(1/2)ⁿ ? ( assume index starts at 0)

• 3/2

• 3

• 6

• 9

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

A  p-series  will converge if...

• p > 1
• p ≤ 1
• p ≤ 0
• p ≥ 0

A  p-series  will diverge if...

• p > 1
• p ≤ 1
• p ≤ 0
• p ≥ 0

• This is a p-series.
• This is a geometric series.
• This is a harmonic series.
• This is an alternating harmonic series.