Arithmetic Series Lesson

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

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CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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