Arithmetic Sequence and Summation Notation

Which of the following is an example of an arithmetic sequence?

• 1, 1, 2, 3, 5...

• 15, 20, 26, 33...

• 84, 73, 62, 51...

• 1, 10, 100, 1000...

Tags

CCSS.HSF.BF.A.2

What is the common difference of the arithmetic sequence with a 3rd term of 22 and 16th term of 100?

• 6

• 10

• 4

• 8

Tags

CCSS.HSF.BF.A.2

What is the RECURSIVE formula for an arithmetic sequence with  $a_8=41$  and  $a_{11}=56$  ?

•  $a_1=5;\ a_n=a_{n-1}+6\ \ for\ \ n\ge2$  
  

•  $a_1=1;\ a_n=a_{n-1}+5\ \ for\ \ n\ge2$  

•  $a_1=6;\ a_n=a_{n-1}+5\ \ for\ \ n\ge2$  
  

•  $a_8=41;\ a_n=a_{n-1}+15\ \ for\ \ n\ge2$  
  

What is the 12^th term of the sequence 9, 12, 15...?

• 45

• 41

• 40

• 42

Tags

CCSS.HSF.BF.A.2

Find the 11th partial sum of the sequence where the first term is 10 and the common difference is 7.

• 495

• 80

• 395

• 90

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Write the EXPLICIT formula for the sequence:

2, 8, 14, ...

• an=2+6n $for\ \ n\ge2$

• an=6n-4 $for\ \ n\ge2$

• an=6n-4 $for\ \ n\ge1$

•  $a_1=2;\ a_n=a_{n-1}+6\ \ for\ \ n\ge2$ 

Given the sequence:

25, 21, 17, 13,...

What is the correct RECURSIVE formula.

• an = 4n + 29 $for\ \ n\ge1$

• $a_1\ =\ 25$ ; $a_n=a_{n-1}-4\ \ for\ \ n\ge2$

• an = -4n + 29 $for\ \ n\ge1$

• $a_4=13\ ;\ a_n=a_{n-1}-4\ \ for\ \ n\ge1$

Find the first term of the arithmetic sequence with the following information:

a₁₄=68

d=3

• 107

• 23

• 26

• 29

Find the 25th term of the sequence of the arithmetic sequence with the following recursive formula:

 $a_1=5$  

 $a_n=a_{n-1}+0.5\ for\ \ n\ge2$  

• 18

• 17

• 16.5

• 17.5