Infinite and Finite Sums

Which of the series below is CONVERGENT?

• a₁=4, 1.5a_n-1, n≥2
• a_n=-n²- 8n +106
• a_n = 5/10ⁿ
• a_n = 5n + 6

Tags

CCSS.HSF.LE.A.3

Which of the following is CONVERGENT?

• A
• B
• C
• D

Which of the following is DIVERGENT?

• 10+6+2+-2+...
• 25+5+1+0.2+...
• 100+50+25+5+...
• 3(.25)ⁿ = A_n

The 6th partial sum of the series 2 + 6 + 10 + 14 + ... in sigma notation is 

• A
• B
• C
• D

Find the 9th partial sum of the series A_n = -2n + 1 and tell if you can use the shortcut.

• -72, yes
• -72, no
• -81, yes
• -81, no

On which of the following series could a FINITE infinite sum be found?

• 1 + 3 + 6 + 10 + ...
• 3 + 6 + 12 + 24 + ...
• 10 + 5 + 0 + -5 + ...
• 64 + 32 + 16 + 8 + ...

Find the infinite sum of the series A_n = 2(1/3)ⁿ

• S = 2
• S = 1
• S = 3
• S is not finite

What does the formula S = A₁/(1-r) give you?

• The finite sum of an arithmetic series.
• The infinite sum of a geometric series.
• The partial sum of a geometric series.
• The infinite sum of an arithmetic series.

What does S_n = (n/2)(A₁ + A_n) give you?

• The nth partial sum of a geometric series.
• The nth partial sum of any series.
• The nth partial sum of an arithmetic series.
• The infinite sum of absolutely any series in the whole wide world.

Rate the partial and infinite sum video.

• Better than Cats!
• Won't win an Oscar but better than the other 3.
• What video?
• Middle of the pack.