Unit 4 Review - Sequences

Describe the pattern in the sequence. Find the next three terms.

13, 15, 17, 19,...

• Add 2; 23, 25, 27

• Multiply by 2; 38, 76, 152

• Add -2; 17, 15, 13

• Add 2; 21, 23, 25

Tags

CCSS.HSF.BF.A.2

Analyze the number of dark triangles and select below the choices that are correct. (There is more than one correct answer!)

• 1,3,6,10,15,21

• 1,3,6,10,14,17

• The second term has two more than the first, the third term has three more than the second, the fourth term has four more than the third and so on...

• Each term adds 4 to the previous term

Describe the pattern and the first six terms of the numeric sequence. (Make sure you chose BOTH! There are two answers.)

• 1, 2, 3, 4, 5, 6

• 3, 4, 5, 6, 7,8

• Each shape looks the same

• Each term has one more side than the previous term

Describe the pattern and write the numeric sequence for the first 7 terms. (Make sure you choose BOTH! There are two answers!)

• 1, 4, 9, 16, 25, 36, 49

• 49, 36, 25, 16, 9, 4, 1

• Begins with 49. The number of perfect squares is decreasing.

• Begins with 1. The number of perfect squares is increasing.

-11, -7, -3, 1, 5, ... 
Describe the pattern.

• Add 4
• Subtract 4
• Add 5
• Subtract 4

Tags

CCSS.3.OA.D.9

Find the explicit formula:
-3, -33, -63, -93, ...

• a_n = -3 - 30(n -1)
• a_n = -3 + 30(n -1)
• a_n = -30 - 3(n -1)
• a_n = -30 + 3(n -1)

Tags

CCSS.HSF.BF.A.2

What is the 15th term of the sequence a(n) = -3n+50

• 95

• -5

• 5

• -95

Find the explicit formula:
-23, -16, -9, -2, ...

• a_n = -23 + 7(n -1)
• a_n = -23 - 7(n -1)
• a_n = 7 - 23(n -1)
• a_n = 7 + 23(n -1)

Tags

CCSS.HSF.BF.A.2

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a_n = a_n-1 + 16
• a_n = a_n-1 - 17
• a_n = a_n-1 - 15
• a_n = a_n-1 - 16

Tags

CCSS.HSF.IF.A.3

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8
• a₁ =6, a_n = a_n - 1 - 2
• a₁ = 6, a_n = a_n-1 + 2
• a₁ = 6, a_n = a_n-1 - 2

Tags

CCSS.HSF.BF.A.2