Generating Patterns

1.Which of the following set of numbers is an example of a sequence?

• { 1, 2, 3, 4, 5 }

• { 2, 4, 8, 16, 31 }

• { 1, 4, 9, 16, 27 }

• { 1, 1, 2, 4, 6 }

2. It is a function whose domain includes only the first n positive integers

• Infinite Sequence

• Finite Sequence

• Infinite Series

• Finite series

3. What is the value of the first term of the sequence a_n = n - 1?

• -1

• 1

• 0

• 2

5. Using the pattern 3, 1, -1, -3…, what are the next three terms of the sequence?

• -5, -7, -9

• -1, 1, 3

• -5, -9, 7

• -3, -1, 1

6. What are the first three terms of the sequence with the nth term a_n = n² + 2?

• 3, 6, 15

• 3, 6, 10

• 3, 6, 8

• 3, 6, 11

7. What are the next two numbers that will complete the terms of the sequence

16, 21, 26, 31, __, __ ?

• 36, 41

• 42, 45

• 41, 46

• 40, 4

8. Find the general rule of the sequence 1, 8, 27, 64, …

• a_n = 2n – 1

• a_n = n²

• a_n = n³

• a_n = 2n²

8. Find the general rule of the sequence 1, 8, 27, 64, …

• a_n = 2n – 1

• a_n = n²

• a_n = n³

• a_n = 2n²

10. What is the nth term of the sequence 2, 6, 12, 20, …. ?

• a_n = n² – n

• a_n = n² + n

• a_n = 2n² + 1

• a_n = 2n² – 1