Review on Combinations, Sequences, Series

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the sum of the infinite geometric series, if it exists:

5 + 4 + 3.2 + 2.56 + ...

• 25

• 5

• -1

• 0.8

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...

• 59048
• -29524
• 524288
• 3069

Tags

CCSS.HSA.SSE.B.4

Find the sum for the following series. 

• 1.49
• 3.14
• 1.33
• 1.66

Tags

CCSS.HSA.SSE.B.4

Find the explicit rule for an arithmetic sequence if the 6th term is -38 and the 14th term is -110

• a_n=7-9(n-1)

• a_n=-9+7(n-1)

• a_n=-83+9(n-1)

• a_n=9-83(n-1)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Does this sequence converge or diverge?  $\left\{\frac{10n-6}{2n-3}\right\}$  

• Converges to 0

• Converges to 2

• Converges to 5

• Diverges

Tags

CCSS.HSA.APR.D.7

Does this sequence converge or diverge?  $\frac{1}{3},1,3,9,...$  

• Converges to 0

• Converges to 1

• Converges to 3

• Diverges

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.3

Does this sequence converge or diverge?  $\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25},...$  

• Converges to 0

• Converges to 1

• Converges to 5

• Diverges

What is the answer?

• 20

• 40

• 2!

• 3!