Sequences and Series

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

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

• 14
• 68
• 63
• 71

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

• 18
• 17
• 15
• 14

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

• a_n = 4n + 29

• a_n = - 4n + 25

• a_n = - 4n + 29

• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.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

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Is the sequence arithmetic: 17, 9, 1, -7, ...

• Yes
• No

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

• -515
• -490
• -535
• 460

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.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

The sequence 28, 34, 40, 46, 52, ..., 88 has 11 terms. Find the sum of the 11 terms.

• 550

• 638

• 610

• 288

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2