e-6-6-Geometric Sequences (20)

Choose which formula you would use to find the value of a term in an Arithmetic Sequence:

• $a_n=r\cdot a^{n-1}$

• $a_n=a_1+d\left(n-1\right)$

• $a_r=a_r\cdot d^n$

• $a_n=a_1\cdot r^{n-1}$

Tags

CCSS.HSF.BF.A.2

Choose which formula you would use to find the value of a term in a Geometric Sequence:

• $a_n=r\cdot a^{n-1}$

• $a_n=a_1+d\left(n-1\right)$

• $a_r=a_r\cdot d^n$

• $a_n=a_1\cdot r^{n-1}$

Tags

CCSS.HSF.BF.A.2

Given Sequence:  $97,\ 86,\ 75,\ 64,\ ...$ 

Identify the common difference.

(a)  

Tags

CCSS.HSF.BF.A.2

Given Sequence (Arithmetic): $-33,-24,-15,-6,\ ...$  

Find the next three terms.

•  $-1,\ 7,\ 15$ 

•  $-5,\ 2,\ 9$ 

•  $3,\ 12,\ 21$ 

•  $-65,-73,-81$ 

Tags

CCSS.HSF.BF.A.2

Given Sequence (Arithmetic): $25,\ 21,\ 17,\ 13,\ ...$ 

Write an equation that models the given sequence.

•  $a_n=4n+29$ 

•  $a_n=-4n+25$ 

•  $a_n=4n+25$ 

•  $a_n=-4n+29$ 

Tags

CCSS.HSF.BF.A.2

Given Sequence (Arithmetic):  $34,\ 37,\ 40,\ 43,\ ...$ 

Find the value of $a_{32}$ of this sequence.

(a)  

Tags

CCSS.HSF.BF.A.2

Given Sequence (Geometric):  $2,\ 10,\ 50,\ 250,\ ...$  

Find the common ratio of this sequence.

(a)  

Tags

CCSS.HSF.BF.A.2

Given Sequence (Geometric):  $96,\ 48,\ 24,\ 12,\ ...$  

Find the common ratio for this sequence.

•  $\frac{1}{2}$ 

•  $\frac{2}{1}$ 

•  $\frac{1}{12}$ 

•  $\frac{1}{24}$ 

Tags

CCSS.HSF.BF.A.2

Given:  $a_n=5\cdot2\left(n-1\right)$ 

Find:   $a_5$ 

(a)  

Tags

CCSS.HSF.BF.A.2

Given:  $a_n=7+5\left(n-1\right)$  

Compute and list the first three terms of a sequence using the given equation.

•  $7,\ 35,\ 175$ 

•  $7,\ 2,-3$ 

•  $12,\ 17,\ 22$ 

•  $7,\ 12,\ 17$ 

Tags

CCSS.HSF.BF.A.2