Algebra 2 - Quiz - Arithmetic and Geometric

Determine whether the sequence is arithmetic or not.

 $\left\{1,\ 2,\ 3,\ 5,\ 8,\ ...\right\}$  

• Yes

• No

Tags

CCSS.HSF.BF.A.2

Determine whether the sequence is arithmetic or not.

 $\left\{17,\ 9,\ 1,\ -7,\ -15,\ ...\right\}$  

• Yes

• No

Tags

CCSS.HSF.BF.A.2

Determine the rule for the sequence below.

 $\left\{-7,\ -4,\ -1,\ 2,\ ...\right\}$  

•  $a_n=3n-10$  

•  $a_n=-3n-4$  

•  $a_n=3n-7$  

•  $a_n=-7n+3$  

Tags

CCSS.HSF.BF.A.2

The terms below are part of an arithmetic sequence.  Write a rule for the sequence.

 $a_1=-27$  and  $a_{18}=41$  

•  $a_n=4n-31$  

•  $a_n=3n-16$  

•  $a_n=-5n+12$  

•  $a_n=5n-27$  

Tags

CCSS.HSF.BF.A.2

Find the indicated sum for the arithmetic series.

 $\left\{\left(-2\right)+\left(-7\right)+\left(-12\right)+\left(-17\right)+...\right\};\ S_{27}$  

•  $-1809$  

•  $-247$  

•  $-852$  

•  $-132$  

Determine whether the sequence below is geometric or not.

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

• Yes

• No

Tags

CCSS.HSF.BF.A.2

Determine whether the sequence below is geometric or not.

 $\left\{600,-300,\ 100,-25,\ ...\right\}$  

• Yes

• No

Tags

CCSS.HSF.BF.A.2

Write a formula for the sequence.

 $\left\{-4,-12,-36,-108,\ ...\right\}$  

•  $a_n=-4\cdot3^{\left(n-1\right)}$  

•  $a_n=-2\cdot3^{\left(n-1\right)}$  

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

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

Tags

CCSS.HSF.BF.A.2

If the information below represents a geometric sequence, find  $a_1.$  

  $a_4=-320$ and  $r=-4$  

•  $a_1=5$  

•  $a_1=20$  

•  $a_1=-10$  

•  $a_1=15$  

Tags

CCSS.HSF.BF.A.2