Arithmetic and Geometric Series

To find the next term in an arithmetic sequence…

• add the common difference d

• multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common ratio r multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

 $\sum_{x=3}^9\left(2x+2\right)$  How many terms are in the sequence?

• 6

• 7

• 3

• 2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Calculate the final sum/total of the series.

• 6
• 21
• 9
• 2

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.NS.B.3

• 196
• 392
• 49
• 254

Tags

CCSS.HSA.SSE.A.1

• 149
• 11,200
• 5,600
• 140

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Evaluate S_n:

28 + 35 + 42 + 49 + ..., n = 10

(Hint: is this arithmetic or geometric?)

• 2384

• 595

• 1192

• 1190

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Evaluate S₈:

2 + 6 + 10 + 14 + ...

• 128

• 494

• 256

• 255

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

• 1,600
• 18,235
• 18,475
• 19,125

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Evaluate 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