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Working with Term-to-Term Rules in Sequences

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12.1Working with Term-to-Term Rules in Sequences

Working with Term-to-Term Rules in Sequences Revision Questions

1. . Which of the following sets of numbers is NOT a sequence?

  1. -2, 3, 4, 14, 26, 0, 11, …
  2. 3, 5, 7, 9, 11, 13, 15, …
  3. 0, 2, 2, 4, 6, 10, 16, 26, …
  4. 1, 3, 9, 27, 81, 243, 729, …

Correct Answer: A

2. . Which of the following sequences is an arithmetic one?

  1. 3, 7, 12, 18, 25, 33, 42, …
  2. 160, 80, 40, 20, 10, 5, …
  3. 27, 25, 22, 18, 13, 7, 0, …
  4. 18, 16, 14, 12, 10, 8, 6, …

Correct Answer: D

3. . What type of sequence is the one shown below?

2,5,7,12,19,31,…
  1. Arithmetic
  2. Geometric
  3. Quadratic
  4. Fibonacci-type

Correct Answer: D

4. . What is the value of x in the sequence below?

5,6,11,17,x,45,73
  1. 23
  2. 24
  3. 28
  4. 38

Correct Answer: C

5. . What is the shape that comes next in the sequence below?

Math Tutorials: Working with Term-to-Term Rules in Sequences Example Math Tutorials: Working with Term-to-Term Rules in Sequences Example

Correct Answer: C

6. . What is the general term of the sequence

1,3,5,7,…
  1. xn = 2n - 1
  2. xn = 2n + 1
  3. xn = 2 + n
  4. xn = 2 + 2n

Correct Answer: A

7. . What is the 8th term of the sequence with the general term

xn = 1/4 n2
  1. 256
  2. 64
  3. 16
  4. 4

Correct Answer: B

8. . What is the 12th term of the sequence with the general term

yn = 3n - 2
  1. 30
  2. 32
  3. 34
  4. 36

Correct Answer: C

9. . The general term of a number sequence is

yn = a ∙ 5n

and the third term of this sequence is 250. What is the value of a?

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: B

10. . What is y8 - y3 in the sequence

…, 24, 15, 6, -3, …
  1. 5
  2. 45
  3. -45
  4. -72

Correct Answer: C

11. . What is y7 - x4 if we have two sequences with general terms

xn = 5 - 2n and yn = n2-6n
  1. -17
  2. 4
  3. 7
  4. 10

Correct Answer: D

12. . What is the 24th term of the sequence shown below

-
23, -30, -33 ,-32, -27, -18, …
  1. 72
  2. 79
  3. 368
  4. 828

Correct Answer: D

13. . What are the first five terms of the sequence below?

xn = 2n2 - 8/n
  1. -4, 0, 10/3, 6, 42/5
  2. -6, 0, 10/3, 6, 42/5
  3. -6, 0, 10/3, 6, 42/5
  4. -3, 2, 10, 18, 27

Correct Answer: B

14. . What are the missing values a and b in the sequence below?

4, a, 18, 28, 40, b, 70
  1. a = 12; b = 55
  2. a = 10; b = 56
  3. a = 10; b = 54
  4. a = 8; b = 52

Correct Answer: C

15. . The third term of a geometric sequence is 24 and the fifth term of the same sequence is 96. What is the general term for this sequence?

  1. xn = 2 · 3n
  2. xn = 3 · 3n
  3. xn = 4 · 2n
  4. xn = 3 · 2n

Correct Answer: D

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  6. Continuing learning sequences and series - read our next math tutorial: Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series.

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