Sequences & Series

Find the 22nd term of the following sequence:

5, 8, 11, ...

• 14

• 68

• 63

• 86

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

CCSS.HSF.LE.A.2

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

• 8
• 11
• -11
• -8

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32
• 64
• 127
• 356

Tags

CCSS.HSF.BF.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• 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

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

Find S_n for the given series:
a₁=22
d=-8
n=21

• 1911
• -1449
• -2436
• -1218

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the sum of all odd numbers from 1 to 100?

• 5000

• 2500

• 2525

• 3250

-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 sum for the following series. 

• 44
• -162
• -682
• 324

Tags

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2