Arithmetic and Geometric Sequences

Create the formula for the sequence:
2, 8, 14, ...

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

Identify the common difference. 
10, 20, 30, 40, ...

• 5
• 10
• 15
• 20

Tags

CCSS.HSF.BF.A.2

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32
• 64
• 127
• 356

Tags

CCSS.HSF.BF.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

Is the sequence geometric or arithmetic?
6, 18, 54...

• Arithmetic
• Geometric
• Neither

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147
• -19,683
• -59,049
• 118,098

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

• Arithmetic
• Geometric
• Neither

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 162(2/3)^n-1
• a_n = (2/3)(162)^n-1
• a_n = 162(3/2)^n-1
• a_n = 162 + (n-1)(-54)