Geometric Series

Find the common ratio: 16, 8, 4, 2, ...

• r = 2
• r = 8
• r = 1/4
• r = 1/2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find the common ratio: -3, -9, -27, -81, ...

• r = 6
• r = -6
• r = 3
• r = -3

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

• 59,050
• -59,048
• -78,732
• 118,096

Tags

CCSS.HSA.SSE.B.4

Find the next three terms of the geometric sequence: -4, -12, -36, -108, ...

• 36, -108, 324
• -324, -972, -2916
• 324, -972, 2916
• -108, 324, -972

Tags

CCSS.HSF.BF.A.2

Find the sum of the geometric series.

2 + 12 + 72 + 432

• 432

• 518

• 211

• 438

Tags

CCSS.HSA.SSE.B.4

Find the sum of geometric series.

−2 + 6 − 18 + 54 −162

• -118

• 5

• -122

• 201

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

• $50
• $35
• $320
• $250

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

CCSS.HSF.LE.B.5

A geometric series begins with 4, ends with 1/64, and has a common ratio of one half. Which geometric series is correct?

• 4+2+1+1/2+1/4+1/8+1/16+1/32+1/64

• 4-2+1-1/2+1/4-1/8+1/16-1/32+1/64

• 4+2+1/2+1/4+1/8+1/16+1/32+1/64

• 4+2+1+1/2+1/4+1/16+1/64

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Build the series knowing that it has 5 terms, starts with -2 and has a common ratio of -4.

• -2 - 8 - 32 - 128 - 512

• -2 + 8 - 32 + 128 - 512

• 2 + 8 + 32 + 128 + 512

• -2 + 8 + 32 - 128 + 512

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What would be the missing terms of the series

-1 - 5 - 25 - ... - 78125

• 125 + 625 - 3125 + 15625

• 125 - 625 - 15625

• 125 - 625 - 3125 - 15625

• 625 - 3125 - 15625

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3