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Series and sequences

Authored by Samantha Ramdeen

Mathematics

12th Grade

CCSS covered

Used 6+ times

Series and sequences
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Find the first 6 terms of the sequence.

13, 19, 25, 31, 37, 43

7, 13, 19, 25, 31, 37

1, 7, 13, 19, 25, 31

7, 12, 17, 22, 27, 32

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine whether the sequence converges or diverges. If it converges, give the limit.

Diverges

Converges to 1

Converges to 1000

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Find an explicit rule for the nth term of the sequence.

an= 7(-1)n-1

an= -7(1)n-1

an= 7(-1)n

an= 7(1)n-1

Tags

TEKS.MATH.A.12D

TEKS.MATH.P.5B

4.

MULTIPLE CHOICE QUESTION

2 mins • 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

5.

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

6.

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

7.

MULTIPLE CHOICE QUESTION

2 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

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