Identifying Arithmetic and Geometric Sequences

The video tutorial explains how to determine if a sequence is arithmetic, geometric, or neither. It provides examples of each type: arithmetic sequences involve adding a constant to each term, geometric sequences involve multiplying by a constant, and neither sequences do not follow a consistent pattern. The tutorial includes specific examples to illustrate each type of sequence.

What is the main goal when analyzing sequences in this problem?

• To determine if they are arithmetic, geometric, or neither

• To find the sum of the sequences

• To calculate the average of the sequences

• To identify the largest number in the sequences

What is the first step in analyzing a sequence?

• Check if it is neither

• Check if it is geometric

• Check if it is a Fibonacci sequence

• Check if it is arithmetic

In an arithmetic sequence, how is each term found?

• By dividing by a constant

• By multiplying by a constant

• By subtracting a constant

• By adding a constant to the previous term

What characterizes a geometric sequence?

• Each term is found by subtracting a constant

• Each term is found by dividing by a constant

• Each term is found by adding a constant

• Each term is found by multiplying by a constant

What is the difference between arithmetic and geometric sequences?

• Both add a constant

• Arithmetic sequences add a constant, geometric sequences multiply by a constant

• Both multiply by a constant

• Arithmetic sequences multiply by a constant, geometric sequences add a constant

Which of the following is NOT a characteristic of a geometric sequence?

• Each term is found by multiplying by a constant

• The ratio between consecutive terms is constant

• The sequence can include negative numbers

• Each term is found by adding a constant

In the given example, what constant is added to each term in the arithmetic sequence?

• 5

• 6

• 4

• 3

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

• 3, 6, 9, 12

• 5, 10, 20, 40

• 1, 2, 4, 8

• 2, 4, 8, 16

What operation is used to find the next term in the geometric sequence example?

• Dividing by 2

• Multiplying by 1/4

• Subtracting 4

• Adding 4

Which sequence is geometric?

• 3, 9, 27, 81

• 5, 10, 15, 20

• 2, 4, 6, 8

• 1, 3, 5, 7