Arithmetic Sequences

Write the explicit formula for the sequence.

4,7,10,13,16...

•  $a_n=4+3\left(n-1\right)$  

•  $a_n=4+3n$  

•  $a_n=3+4\left(n-1\right)$  

•  $a_n=3+4n$  

Write the explicit formula for the sequence.

5,3,1,-1,-3...

•  $a_n=5-2\left(n-1\right)$  

•  $a_n=-2+5\left(n\ -1\right)$  

•  $a_n=5+2\left(n-1\right)$  

•  $a_n=2+5\left(n-1\right)$  

Write the explicit formula for the sequence.

-7, -10.5, -14, -17.5, -21...

• $a_n=-7-\frac{7}{2}\left(n-1\right)$

• $a_n=-\frac{7}{2}-7\left(n-1\right)$

• $a_n=-7-\frac{3}{2}\left(n-1\right)$

• $a_n=-\frac{3}{2}-7\left(n-1\right)$

Select all of the options that are equivalent to the sequence below.

-5,1,7,13,19...

• $a_n=-5+6\left(n-1\right)$

• $a_n=6n-11$

• $a_n=6n+1$

• $a_n=n-6$

• $a_n=6-5\left(n-1\right)$

What are the first 5 terms of the sequence given by:

 $a_1=3$  

 $a_n=a_{n-1}+4$  

• 3,7,11,15,19

• 3,6,9,12,15

• 4,7,10,13,16

• 3,7,12,18,25

What are the first 5 terms given by the sequence:

 $a_1=-2$  

 $a_n=a_{n-1}-2$  

• -2, -4, -6, -8, -10

• -1, -3, -5, -7, -9

• -2, 0, 2, 4, 6

• -2, -3, -5, -8, -12

Which explicit formula is equivalent to

 $a_1=12$  
 $a_n=a_{n-1}-3$  

•  $a_n=12-3\left(n-1\right)$  

•  $a_n=12+3\left(n-1\right)$  

•  $a_n=-3+12\left(n-1\right)$  

•  $a_n=3-12\left(n-1\right)$  

Which recursive formula is equivalent to 
 $a_n=-2+8\left(n-1\right)$  

•  $a_1=-2$  
   $a_n=a_{n-1}+8$  
  

•  $a_1=8$  
   $a_n=a_{n-1}-2$  
  

•  $a_1=-2$  
   $a_n=a_{n-1}+6$  
  

•  $a_n=8n-10$  

What is the common difference of the sequence:

-3, -0.5, 2, 4.5, 7...

• -3.5

• 3.5

• 2.5

• -2.5

Which sequence is arithmetic?

• -4, -1, 2, 5, 8...

• 3, 6, 12, 24, 48...

• -11, -5, 1, 6, 11...

• 1, 1, 2, 3, 5, 8, 13, 21...

• 1, 2, 4, 7, 11, 16...