Arithmetic and Geometric Sequences

Identify the common difference.

-6, -3, 0, 3, 6....

• d=4

• d=3

• d=-4

• d=-3

The next two terms of the sequence 2,-4, 8,-16 are

• 32, 64

• 32, -64

• -64, 108

• 32, 20

The sequence 3, 6, 9, 12... is:

• Arithmetic

• Geometric

• Recursive

• Explicit

The sequence 6, 18, 54...

• Arithmetic

• Geometric

• Explicit

• Recursive

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Write a recursive formula for the following sequence:

10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

• Common denominator
• Common opposites
• Common domain
• Common difference

Determine if the following sequence is arithmetic or geometric.

6, 30, 150, 750, ...

• Arithmetic

• Geometric

Determine if the following sequence is arithmetic or geometric.

2, 5, 8, 11, 14, ...

• Arithmetic

• Geometric

• 3, 15, 75, 375

• 3, 8, 13, 18

• 5, 8, 11, 14

• 5, 15, 45, 135