Arithmetic and Geometric Sequences

Which of the following best describes this sequence?

 $\left\{2,\ -4,\ \ 8,\ -16,\ 32,\ ...\right\}$  

• Arithmetic

• Geometric

• Neither

• Both

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Which of the following best describes this sequence?

 $\left\{32,\ 20,\ 8,\ -4,\ ...\right\}$  

• Arithmetic

• Geometric

• Neither

• Both

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Which of the following best describes this sequence?

 $\left\{1,\ 3,\ 6,\ 10,\ 15,\ 21,\ ...\right\}$  

• Arithmetic

• Geometric

• Neither

• Both

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Which explicit formula describes the sequence?

 $-1,\ 3,\ 7,\ 11,\ ...$  

•  $a_n=-4+\left(n-1\right)\left(-1\right)$  

•  $a_n=\left(-4\right)\left(-1\right)^{\left(n-1\right)}$  

•  $a_n=-1+\left(n-1\right)\left(-4\right)$  

•  $a_n=\left(-1\right)\left(-4\right)^{\left(n-1\right)}$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

The diagrams represent the first three terms of a sequence. Assuming the pattern continues, how many shaded squares are in the 6th term?

• 26

• 28

• 30

• 32

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

What is the formula for the nth term of the sequence 3, -6, 12, -24, 48, ...?

• $a_n=-2\left(3\right)^n$

• $a_n=3\left(-2\right)^n$

• $a_n=-2\left(3\right)^{\left(n-1\right)}$

• $a_n=3\left(-2\right)^{\left(n-1\right)}$

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Which of the following best describes this sequence?

 $\left\{5,\ 8,\ 11,\ 14,\ ...\right\}$  

• An arithmetic sequence with a common ratio of 3.

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

• A geometric sequence with a common ratio of 3.

Tags

CCSS.HSF.BF.A.2

Which of the following best describes this sequence?

 $\left\{135,\ 45,\ 15,\ 5,\ ...\right\}$  

• An arithmetic sequence with a common ratio of  $\frac{1}{3}$  

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

• A geometric sequence with a common ratio of  $\frac{1}{3}$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the 16th term of the following sequence?

 $\left\{10,\ 12,\ 14,\ 16,\ 18,\ ...\right\}$  

• 36

• 38

• 40

• 42

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the 12th term of the following sequence?

 $\left\{3,-6,\ 12,\ -24,\ 48,\ ...\right\}$  

•  $6,411$  
  

•  $-6,411$  
  

•  $354,294$  

•  $-354,294$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2