Ch9 Sequences & Series Review

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

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

Tags

CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2

Evaluate: $\sum_{x=2}^{11}\left(5x-2\right)$  

• 305

• 503

• 53

• 8

Tags

CCSS.6.EE.A.2

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6
• a_n=a_n-1-4
  a₁=6
• a_n=a_n-1+9
  a₁=6
• a_n=a_n-1+6
  a₁=6

Tags

CCSS.HSF.BF.A.2

Write a recursive formula for the following sequence:

16,8, 4, 2,...

• a₁=16

  a_n=a_n-1 (2)

• a₁=16

  a_n=a_n-1 (1/2)

• a₁=16

  a_n=a_n-1 + (1/2)

• a₁=16

  a_n=a_{n-1 +} (2)

Tags

CCSS.HSF.BF.A.2

Identify the common ratio for the given geometric sequence.

2, 6, 18, 54, 162, ...

• r = 4

• r = 3

• r = $\frac{1}{4}$

• r = 12

Tags

CCSS.HSF.BF.A.2

Find S₁₄ 
7, 2, -3, ...

• -812
• 119
• -945
• -357

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Write a rule for the Nth term of the geometric sequence.

 $a_1=11\ and\ a_4=88$  

•  $a_n=11\left(2\right)^{\left(n-1\right)}$  

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

•  $a_n=11+2\left(n-1\right)$  

•  $a_n=2\left(11\right)^{\left(n-1\right)}$  

Tags

CCSS.HSF.BF.A.2