Arithmetic Sequences and Their Properties

The video tutorial introduces arithmetic sequences, explaining that they are formed by adding a constant value, known as the common difference, to each term. An example using a coat hook board illustrates how the sequence progresses with a positive common difference. The tutorial also covers sequences with a negative common difference, showing how terms decrease. Viewers are encouraged to apply their understanding by attempting practice questions.

What is an arithmetic sequence?

• A sequence where each term is divided by a constant.

• A sequence where each term is added by a constant.

• A sequence where each term is multiplied by a constant.

• A sequence where each term is subtracted by a constant.

In the sequence starting at 1, what is the common difference?

• 4

• 5

• 3

• 2

What is the third term in the sequence starting at 1 with a common difference of 3?

• 4

• 13

• 7

• 10

What is the common difference in the coat hook board example?

• 130

• 120

• 110

• 100

Where is the second hook placed in the coat hook board example?

• 190

• 430

• 310

• 70

What is the starting point of the sequence in the coat hook board example?

• 70

• 60

• 50

• 80

What is the position of the fourth hook in the coat hook board example?

• 310

• 430

• 550

• 670

How does the sequence in the coat hook board example continue?

• It forms a loop.

• It stops after a few terms.

• It continues indefinitely.

• It reverses after a point.

What happens to the sequence when the common difference is negative?

• The sequence increases.

• The sequence becomes random.

• The sequence decreases.

• The sequence remains constant.

What is the second term in the sequence starting at 14 with a common difference of -4?

• 6

• 0

• 2

• 10