Comparing Sequences Practice

Which of the following are arithmetic sequences? Select all that apply.

• $15,\ 18,\ 22,\ 27,\ ...$

• $-7,\ -2,\ 3,\ 8,\ ...$

• $18,\ 14,\ 10,\ 6,\ ...$

• $2,\ 4,\ 8,\ 16,\ ...$

• $108,\ 36,\ 12,\ 4,\ ...$

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which of the following are geometric sequences? Select all that apply.

• $-4,\ 8,\ -16,\ 32,\ ...$

• $3,\ 6,\ 9,\ 12,\ ...$

• $1,\ 3,\ 12,\ 60,\ ...$

• $5,\ 15,\ 45,\ 135,\ ...$

• $216,\ 36,\ 6,\ 1,\ ...$

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Determine if the sequence is arithmetic, geometric, or neither.
If it is arithmetic, identify the common difference.
If it is geometric, identify the common ratio.
 $8,\ -24,\ 72,\ -216,\ ...$  

• Neither.

• Geometric;  $r=-3$  

• Arithmetic;  $d=-3$  

• Geometric;  $r=3$  

• Arithmetic;  $d=3$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Determine if the sequence is arithmetic, geometric, or neither. 
If it is arithmetic, identify the common difference.
If it is geometric, identify the common ratio.
 $5,\ 10,\ 15,\ 20,\ ...$  

• Neither.

• Geometric;  $r=2$  

• Arithmetic;  $d=2$  

• Geometric;  $r=5$  

• Arithmetic;  $d=5$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

Select all statements that are true regarding geometric sequences

• They have a common difference.

• They have a common ratio.

• They are linear functions.

• They are exponential functions.

• None of these are true.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Select all statements that are true regarding arithmetic sequences.

• They have a common difference.

• They have a common ratio.

• They are linear functions.

• They are exponential functions.

• None of these are true.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

Determine if the function is arithmetic, geometric or neither.
If it is arithmetic or geometric, write its recursive formula.
 $4,\ -8,\ 16,\ -32,\ ...$  

• Arithmetic;  $a_n=a_{n-1}-2$  

• Arithmetic;  $a_n=4-2\left(n-1\right)$  

• Geometric;  $a_n=4\left(-2\right)^{n-1}$  

• Geometric;  $a_n=a_{n-1}\cdot\left(-2\right)$  

• Neither.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Determine if the function is arithmetic, geometric or neither.
If it is arithmetic or geometric, write its recursive formula.
 $17,\ 28,\ 39,\ 50,\ ...$  

• Arithmetic;  $a_n=a_{n-1}+11$  

• Arithmetic;  $a_n=17+11\left(n-1\right)$  

• Geometric;  $a_n=a_{n-1}\cdot11$  

• Geometric;  $a_n=17\left(11\right)^{n-1}$  

• Neither.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Determine if the function is arithmetic, geometric or neither.
If it is arithmetic or geometric, write its explicit formula.
 $-3,\ 1,\ 5,\ 9,\ ...$  

• Arithmetic;  $a_n=a_{n-1}+4$  

• Arithmetic;  $a_n=-3+4\left(n-1\right)$  

• Geometric;  $a_n=a_{n-1}\cdot4$  

• Geometric;  $a_n=-3\left(4\right)^{n-1}$  

• Neither.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Determine if the function is arithmetic, geometric or neither.
If it is arithmetic or geometric, write its explicit formula.
 $256,\ 64,\ 16,\ 4,\ ...$  

• Arithmetic;  $a_n=a_{n-1}-\frac{1}{4}$  

• Arithmetic;  $a_n=256-\frac{1}{4}\left(n-1\right)$  

• Geometric;  $a_n=a_{n-1}\cdot\left(\frac{1}{4}\right)$  

• Geometric;  $a_n=256\left(\frac{1}{4}\right)^{n-1}$  

• Neither.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2