Lesson 1-4: Arithmetic Sequences and Series

What are the three formulas that pertain to arithmetic sequences? Write the formulas for each.

An arithmetic sequence is described by the recursive formula shown. What is the explicit formula?

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

Identify the common difference in the sequence below.

97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18
• 17
• 15
• 14

Tags

CCSS.HSF.BF.A.2

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence. Simplify your answer.

• a_n = 4n + 29

• a_n = - 4n + 25

• a_n = - 4n + 29

• a_n = 4n + 25

The next two terms of the sequence 4,7,10,13 are ....

• 16 and 19
• 15 and 19
• 16 and 18
• 15 and 18

Tags

CCSS.HSF.BF.A.2

Is the following sequence arithmetic? 17, 9, 1, -7, ...

• Yes

• No

Tags

CCSS.HSF.BF.A.2

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

• -515
• -490
• -535
• 460

Tags

CCSS.HSF.BF.A.2

Find the sum of the arithmetic series described:

2 + (-2) + (-6) + (-10)..., S₁₀

• -160

• -328

• -320

• -336

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2