Common Differences in Arithmetic Sequences

The video tutorial explains how to find common differences in sequences, specifically arithmetic sequences. It begins with an introduction to the concept of common differences, followed by a step-by-step guide on calculating them using terms in a sequence. The tutorial concludes by demonstrating how to identify arithmetic sequences based on consistent common differences between terms.

What is the purpose of finding a common difference in a sequence?

• To identify if the sequence is geometric

• To calculate the product of the sequence

• To determine if the sequence is arithmetic

• To find the sum of the sequence

Which of the following is a method to find the common difference?

• Adding the first and last terms

• Subtracting the first term from the second term

• Multiplying the first two terms

• Dividing the last term by the first term

If A2 is 10 and A1 is 7, what is the common difference?

• 70

• 17

• 3

• 0.7

In the sequence 86, 97, what is the common difference?

• 1

• -11

• 11

• -1

What is the result of subtracting 97 from 86?

• -11

• -1

• 1

• 11

What does a consistent common difference indicate about a sequence?

• It is a geometric sequence

• It is an arithmetic sequence

• It is a harmonic sequence

• It is a random sequence

If the common difference is 1 between terms, what type of sequence is it?

• Arithmetic

• Geometric

• Harmonic

• Fibonacci

What is the common difference if A3 is 15 and A2 is 14?

• 0

• 1

• -1

• 29

Which term is used to describe the difference between consecutive terms in an arithmetic sequence?

• Common product

• Common sum

• Common difference

• Common ratio

If the common difference is negative, what does it imply about the sequence?

• The sequence is random

• The sequence is increasing

• The sequence is decreasing

• The sequence is constant