Sequences and Series

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 5)

• geometric (common ratio r = 5)

• neither

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

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

Find the common difference:  a₂ = 6 and a₆ = -14

• -1
• -5
• -2
• 2

Tags

CCSS.HSF.BF.A.2

Find the first term of the given sequence:
a₁₄=68
d=3

• 14
• 20
• 26
• 29

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.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Expand:  $\sum_{k=3}^6\left(2k-1\right)$  

•  $4+6+8+10$  

•  $4+6+8$  

•  $5+7+9+11$  

•  $5+7+9$  

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

• 550

• 638

• 610

• 288

Tags

CCSS.HSF.BF.A.2

Evaluate: $\sum_{x=2}^{11}\left(5x-2\right)$  

• 305

• 503

• 53

• 8

Tags

CCSS.6.EE.A.2

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -2,048
• 6,144
• -6,144
• -531,441

Tags

CCSS.HSF.BF.A.2