Sequences Review

Is the following sequence arithmetic or geometric?

 $125,\ 25,\ 5,\ \frac{1}{5},\ ...$  

• Arithmetic Sequence
  

• Geometric Sequence

Tags

CCSS.HSF.BF.A.2

A sequence is defined by the explicit formula  $a_n=3n-1$  .  What is the 8th term of this sequence?

 A sequence is defined by the recursive formula below.

 $a_1=3$  
 $a_n=2a_{\left(n-1\right)}$  

What are the first three terms of this sequence?

• 2, 4, 8

• 3, 6, 12

• 6, 12, 24

• 3, 5, 7

What is the explicit formula of the given sequence?

 $5,\ 1,\ -3,\ -7,\ ...$  

•  $a_n=-4n+5$  

•  $a_n=4n\ -\ 5$  

•  $a_n=-4n+9$  

•  $a_n=5n\ -\ 4$  

What is the explicit formula of the sequence given below?

 $\frac{1}{8},\ \frac{1}{2},\ 2,\ 8,\ 32,\ ...$  

•  $a_n=\frac{1}{8}\left(4\right)^{\left(n-1\right)}$  

•  $a_n=4\left(\frac{1}{8}\right)^{\left(n-1\right)}$  

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

•  $a_n=32\left(\frac{1}{4}\right)^{\left(n-1\right)}$  

What is the next term in the following sequence?

 $4,\ 8,\ 16,\ 32,\ ...$  

In an arithmetic sequence, a₃ = 4, a₄ = 12, and a₅ = 20. What is the explicit formula for this sequence?

• $a_n=8n+4$

• $a_n=8n-20$

• $a_n=8n-12$

• $a_n=-12n+8$