Geometric Series

Evaluate the geometric series below:
a₁ = -2, a_n = -1458, r = 3

• -2186
• -2408
• 1
• -2703

Tags

CCSS.HSA.SSE.B.4

Evaluate the geometric series below:
a₁ = 4, a_n = 262144, r = 4

• 349524
• 341690
• 344023
• 338135

Tags

CCSS.HSA.SSE.B.4

Evaluate the geometric series below:
-2 - 10 - 50 - 250..., S6

• -7812
• -9678
• -8686
• -9932

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Evaluate the geometric series below:
4 - 8 - 16 - 32...,  S₇

• 195
• 172
• 202
• 145

Tags

CCSS.HSA.SSE.B.4

Evaluate the geometric series below:
-1 -3 -9 - 27...,  S8

• -3280
• -3135
• -3323
• -3343

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Evaluate the geometric series below:
4 + 20 + 100 + 500...,  S₇

• 88419
• 78124
• 91846
• 92234

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Evaluate the geometric series below:
4 - 16 + 64 - 256...,  S9

• 223444
• 230679
• 204516
• 209716

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Evaluate the geometric series below:
-4 - 8 - 16 - 32...,  S₆

• -253
• -252
• 4
• -235

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

The local power company plans to raise rates to cover the increased cost of producing power. They determine the costs will increase by 4.2% per year for the next 10 years. If you paid a total of $1031.60 for power last year, what would you expect to pay for power over the next 10 years? 
(Hint: Find a₁, a₁₀, and r)

• $13,020.97
• $10,316.00
• $2,704.97
• $12,220.97

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces? 

• 25 cm
• 84.04 cm
• 53.7956 cm
• 59.04 cm

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2