Geometric Series

 $a_1=-2,\ \ \ r=-2,\ \ \ S_n=-22$  Determine the number of terms n in the series

• 6

• 7

• 8

• 5

 $-3,\ \ 6,\ -12,\ \ 24,\ ....$  Find the common ratio

• 3

• -2

• 2

•  $\frac{1}{2}$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

 $2,\ 10,\ 50,\ 250,\ ...$  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

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

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

Tags

CCSS.HSA.SSE.B.4

What is the formula for the sum of the first n terms of a geometric sequence?

• $ar^n$
  

• $ar^{n-1}$
  

• $\frac{a\left(1-r^n\right)}{1-r}$

• None of these

Tags

CCSS.HSA.SSE.B.4

Is the following a geometric series 1, 2, 4, 8,16,,,?

• Yes

• No

Tags

CCSS.HSF.BF.A.2

The first term of a geometric sequence is 18 and the common ratio is 3.5.  What is the 5th term of the sequence?

• 2701
• 2700
• 2701.125
• 2913.24

Tags

CCSS.HSF.BF.A.2

Which sequence is represented by the equation 2(7)^n-1 ?

• 7, 14, 28, 56...
• 2, 14, 98, 686...
• 2, 9, 16, 23...
• 7,9,11,13...

Tags

CCSS.HSF.BF.A.2

Find the sum of the finite geometric series when given the following information:

a₁ = -2, a_n = -1458, r = 3

• -2186

• -2408

• -2916

• -2703

Evaluate the geometric series below:

4 - 8 + 16 - 32 ... + 256

• 195

• 172

• 202

• 256

Tags

CCSS.HSA.SSE.B.4