21 Sequences & Series Quiz

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

The sequence 28, 34, 40, 46, 52, ..., 88 has 11 terms. Find the sum of the 11 terms.

• 550

• 638

• 610

• 288

Find the sum for the following series. 

• 44
• -162
• -682
• 324

Tags

CCSS.HSA.SSE.B.4

Which recursive formula best describes the sequence
2, -6, 18, - 54... 

• a_n = -4*a_n-1, a₁ = 2
• a_n = -8*a_n-1, a₁ =2
• a_n = 2*a_n-1, a₁ = -3
• a_n = -3*a_n-1, a₁ =2

Tags

CCSS.HSF.BF.A.2

What kind of sequence is illustrated below?
 400, 200, 100, 50, 25, ...

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

What kind of sequence is illustrated below?

-21, -16, -11, -6, ...

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

A geometric sequence has a common ration(r) of 3 and the 8th term (a₈) is 13,122. What is the first term of the sequence (a₁)?

• 3

• 6

• 18

• 2

Tags

CCSS.HSF.BF.A.2

• 149
• 11,200
• 5,600
• 140

In an arithmetic sequence if a₁₅  =108 and d=7, find a₁.

• 14
• 101
• 206
• 10

Tags

CCSS.HSF.BF.A.2

The sequence is arithmetic. Find an explicit formula if

 $a_4\ =\ 13\ and\ a_7\ =\ 22$  

•  $a_n\ =\ 3n\ +\ 1$  

•  $f\left(n\right)\ =\ 4\ +\ 3n$  

•  $a_n\ =\ 4\ -\ 3n$  

•  $f\left(n\right)\ =\ -3n\ +7$  

Tags

CCSS.HSF.BF.A.2