Geometric Series

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

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

 $2,\ 10,\ 50,\ 250,\ ...$  Find the explicit formula

•  $a_n=10\cdot4^{\left(n-1\right)}$  

•  $a_n=2\cdot5^{\left(n-1\right)}$  

•  $a_n=10\cdot5^{\left(n-1\right)}$  

•  $a_n=5\cdot2^{\left(n-1\right)}$  

Tags

CCSS.HSF.BF.A.2