Identifying Arithmetic and Geometric Sequences

The video tutorial introduces sequences, focusing on arithmetic and geometric types. It explains arithmetic sequences as having a common difference and geometric sequences as having a common ratio. The tutorial provides steps to identify sequence types and includes practice problems to reinforce learning.

What defines a sequence in mathematics?

• A list of numbers without any specific pattern

• A list of numbers with a special pattern

• A list of random variables

• A list of equations

What symbol is used to represent the common difference in an arithmetic sequence?

• A

• R

• C

• D

In an arithmetic sequence, what operation is performed repeatedly?

• Addition or Subtraction

• Exponentiation

• Multiplication

• Division

What is the common ratio in a geometric sequence?

• The difference between consecutive terms

• The sum of all terms

• The factor by which consecutive terms are multiplied

• The product of the first two terms

How do you identify a geometric sequence?

• By dividing the sequence by 2

• By finding a common ratio

• By finding a common difference

• By adding all the terms

What kind of sequence is 5, 22, 39, 56?

• Both arithmetic and geometric

• Neither

• Geometric

• Arithmetic

What is the common difference of the sequence 5, 22, 39, 56?

• 17

• 22

• 5

• 39

What kind of sequence is 80, 40, 20, 10, 5?

• Both arithmetic and geometric

• Arithmetic

• Neither

• Geometric

What is the common ratio of the sequence 80, 40, 20, 10, 5?

• 2

• 10

• 0.5

• 1

If a sequence does not have a common difference or a common ratio, it is classified as:

• Both arithmetic and geometric

• Arithmetic

• Geometric

• Neither