Sequences Practice Test

Find the next 2 terms of the sequence -17, -11, -5, ___ , ___

Find the next two terms on the sequence 5, -15, 45, ____, _____

Decide if the sequence below is arithmetic. Explain why or why not.

 $-5,\ -10,\ -20,\ -40,\ -80$  

• Yes, the common difference is 2.

• Yes, the common difference is -2.

• Yes, the common ratio is 2.

• No, there is no common difference.

Is the sequence below is geometric? Explain why or why not.

 $81,\ 27,\ 9,\ 3,\ \frac{1}{3}$  

• Yes, the common ratio is 3.

• Yes, the common ratio is 1/3.

• Yes, the common ratio is -3.

• No, there is no common ratio.

List the first 4 terms of the sequence

 $a_1=-4,\ a_n=3a_{n-1}+7$  

Write a recursive formula for the sequence

 $11,\ 8,\ 5,\ 2,\ ...$  

•  $a_1=11;\ a_n=a_{n-1}-3$  

•  $a_n=-3n+11$  

•  $a_1=11;\ a_n=a_{n-1}+3$  

•  $a_n=-3n+14$  

Write a recursive formula for the sequence

 $3,\ 12,\ 48,\ 192,\ ...$  

•  $a_1=3;\ a_n=a_{n-1}+9$  

•  $a_n=3\left(4\right)^{n-1}$  

•  $a_1=3;\ a_n=4\cdot a_{n-1}$  

•  $a_n=3\left(4\right)^n$  

Find the first 4 terms of the sequence $a_n=43-8\left(n-1\right),\ n=1,\ 2,\ 3,\ ...$  

Find the 71st term of the sequence 

 $11,\ 18,\ 25,\ 32,\ ...$  

Find the first four terms of the sequence $a_n=4\left(3\right)^{n-1}$ . 

• 4, 7, 10, 13

• 3, 12, 48, 192

• 4, 12, 36, 108

• 4, 1, -2, -5