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Converge/ diverge of sequences

Mathematics

9th - 12th Grade

CCSS covered

Used 26+ times

Converge/ diverge  of sequences
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17 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which term is 12,288 in the sequence given by: 3, 6, 12, 24, ...

11

12

13

14

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Does this sequence converge or diverge?  {10n62n3}\left\{\frac{10n-6}{2n-3}\right\}  

Converges to 0

Converges to 2

Converges to 5

Diverges

Tags

CCSS.HSA.APR.D.7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Does this sequence converge or diverge?  13,1,3,9,...\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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Does this sequence converge or diverge?  14,19,116,125,...\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25},...  

Converges to 0

Converges to 1

Converges to 5

Diverges

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following expresses 1+3+5+...+39

k=1202k1\sum_{k=1}^{20}2k-1

k=240k1\sum_{k=2}^{40}k-1

k=137k+2\sum_{k=-1}^{37}k+2

k=1392k1\sum_{k=1}^{39}2k-1

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the sum of the first 10 terms for the series: -1 + 2 + 5 + 8 + ...

122

125

128

131

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

An arithmetic sequence has a15=160 and a common difference of -15. Find a40.

535

370

-170

-215

Tags

CCSS.HSF.BF.A.2

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