Algebra 2 | Unit 1 | Lesson 3: Different Types of Sequences | Practice Problems

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6th Grade

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Algebra 2 | Unit 1 | Lesson 3: Different Types of Sequences | Practice Problems

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MULTIPLE SELECT QUESTION

30 sec • 1 pt

Here are the first two terms of some different arithmetic sequences: -2, 4 11, 111 5, 7.5 5, -4 What are the next three terms of each sequence?

10, 16, 22

211, 311, 411

10, 12.5, 15

1, 3, 5

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

MULTIPLE SELECT QUESTION

30 sec • 1 pt

For each sequence, decide whether it could be arithmetic, geometric, or neither. 200, 40, 8, . . . 2, 4, 16, . . . 10, 20, 30, . . . 100, 20, 4, . . . 6, 12, 18, . . .

geometric

neither

arithmetic

neither

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Complete each arithmetic sequence with its missing terms, then state the rate of change for each sequence. -3, -2, _, _, 1 _, 13, 25, _, _ 1, .25, _, -1.25, _ 92, _, _ ,_, 80

-1, 0. The rate of change is 1.

1, 37, 49. The rate of change is 12.

-.5, -2. The rate of change is -0.75.

89, 86, 83. The rate of change is -3.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

OPEN ENDED QUESTION

3 mins • 1 pt

A sequence starts with the terms 1 and 10. Find the next two terms if it is arithmetic: 1, 10, _, _.

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

OPEN ENDED QUESTION

3 mins • 1 pt

A sequence starts with the terms 1 and 10. Find the next two terms if it is geometric: 1, 10, _, _.

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

OPEN ENDED QUESTION

3 mins • 1 pt

A sequence starts with the terms 1 and 10. Find two possible next terms if it is neither arithmetic nor geometric: 1, 10, _, _.

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.IF.A.3

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Complete each geometric sequence with the missing terms. Then find the growth factor for each. _, 5, 25, _, 625 -1, _, -36, 216, _ 10, 5, _, _, 0.625 _, _, 36, -108, _ _, 12, 18, 27, ___

1, 125. The growth factor is 5.

6, -1296. The growth factor is -6.

2.5, 1.25. The growth factor is 0.5.

4, -12, 324. The growth factor is -3.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.3

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Algebra 2 | Unit 1 | Lesson 3: Different Types of Sequences | Practice Problems

Here are the first two terms of some different arithmetic sequences: -2, 4 11, 111 5, 7.5 5, -4 What are the next three terms of each sequence?

For each sequence, decide whether it could be arithmetic, geometric, or neither. 200, 40, 8, . . . 2, 4, 16, . . . 10, 20, 30, . . . 100, 20, 4, . . . 6, 12, 18, . . .

Complete each arithmetic sequence with its missing terms, then state the rate of change for each sequence. -3, -2, _, _, 1 _, 13, 25, _, _ 1, .25, _, -1.25, _ 92, _, _ ,_, 80

A sequence starts with the terms 1 and 10. Find the next two terms if it is arithmetic: 1, 10, _, _.

A sequence starts with the terms 1 and 10. Find the next two terms if it is geometric: 1, 10, _, _.

A sequence starts with the terms 1 and 10. Find two possible next terms if it is neither arithmetic nor geometric: 1, 10, _, _.

Complete each geometric sequence with the missing terms. Then find the growth factor for each. _, 5, 25, _, 625 -1, _, -36, 216, _ 10, 5, _, _, 0.625 _, _, 36, -108, _ _, 12, 18, 27, ___

The first term of a sequence is 4. Choose a growth factor and list the next 3 terms of a geometric sequence.

Choose a different growth factor and list the next 3 terms of a geometric sequence.

Here is a rule that can be used to build a sequence of numbers once a starting number is chosen: Each number is two times three less than the previous number. Starting with the number 0, build a sequence of 5 numbers.

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Algebra 2 | Unit 1 | Lesson 3: Different Types of Sequences | Practice Problems

Here are the first two terms of some different arithmetic sequences: -2, 4 11, 111 5, 7.5 5, -4 What are the next three terms of each sequence?

For each sequence, decide whether it could be arithmetic, geometric, or neither. 200, 40, 8, . . . 2, 4, 16, . . . 10, 20, 30, . . . 100, 20, 4, . . . 6, 12, 18, . . .

Complete each arithmetic sequence with its missing terms, then state the rate of change for each sequence. -3, -2, ___, ___, 1 ___, 13, 25, ___, ___ 1, .25, ___, -1.25, ___ 92, ___, ___ ,___, 80

A sequence starts with the terms 1 and 10. Find the next two terms if it is arithmetic: 1, 10, ___, ___.

A sequence starts with the terms 1 and 10. Find the next two terms if it is geometric: 1, 10, ___, ___.

A sequence starts with the terms 1 and 10. Find two possible next terms if it is neither arithmetic nor geometric: 1, 10, ___, ___.

Complete each geometric sequence with the missing terms. Then find the growth factor for each. ___, 5, 25, ___, 625 -1, ___, -36, 216, ___ 10, 5, ___, ___, 0.625 ___, ___, 36, -108, ___ ___, 12, 18, 27, ___

The first term of a sequence is 4. Choose a growth factor and list the next 3 terms of a geometric sequence.

Choose a different growth factor and list the next 3 terms of a geometric sequence.

Here is a rule that can be used to build a sequence of numbers once a starting number is chosen: Each number is two times three less than the previous number. Starting with the number 0, build a sequence of 5 numbers.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Complete each arithmetic sequence with its missing terms, then state the rate of change for each sequence. -3, -2, _, _, 1 _, 13, 25, _, _ 1, .25, _, -1.25, _ 92, _, _ ,_, 80

A sequence starts with the terms 1 and 10. Find the next two terms if it is arithmetic: 1, 10, _, _.

A sequence starts with the terms 1 and 10. Find the next two terms if it is geometric: 1, 10, _, _.

A sequence starts with the terms 1 and 10. Find two possible next terms if it is neither arithmetic nor geometric: 1, 10, _, _.

Complete each geometric sequence with the missing terms. Then find the growth factor for each. _, 5, 25, _, 625 -1, _, -36, 216, _ 10, 5, _, _, 0.625 _, _, 36, -108, _ _, 12, 18, 27, ___