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?

• 10, 16, 22

• 211, 311, 411

• 10, 12.5, 15

• 1, 3, 5

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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.1

CCSS.HSF.LE.A.2

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.IF.B.6

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.IF.A.3

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.IF.A.3

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3