Finding the Term Formula of an Arithmetic Progression

The video tutorial explains arithmetic progressions, also known as linear sequences, where terms increase or decrease by a constant amount. It provides examples of arithmetic progressions and non-examples, illustrating the concept of a common difference. The tutorial outlines a step-by-step process to find the n-th term formula of a sequence, using examples to demonstrate the method. The video concludes with a summary of key points and encourages viewers to apply the process to find the n-th term of sequences.

What is an arithmetic progression?

• A sequence where each term is a random number

• A sequence where each term is a square of the previous term

• A sequence where each term increases or decreases by the same amount

• A sequence where each term is a multiple of the previous term

Which of the following sequences is NOT an arithmetic progression?

• 2, 4, 8, 16

• 5, 10, 15, 20

• 7, 14, 21, 28

• 3, 6, 9, 12

What is the first step in finding the n-th term of an arithmetic progression?

• Find the common difference

• Identify the first term

• Calculate the sum of the sequence

• Determine the last term

In the sequence 3, 5, 7, 9, what is the common difference?

• 4

• 3

• 2

• 1

How do you adjust the sequence 2n to match the original sequence 3, 5, 7, 9?

• Divide each term by 2

• Multiply each term by 2

• Subtract 1 from each term

• Add 1 to each term

For the sequence 9, 5, 1, -3, what is the n-th term formula?

• -4n + 13

• 4n - 13

• 4n + 13

• -4n - 13

What is the constant term added to 0.5n to match the sequence 2, 2.5, 3, 3.5?

• 0.5

• 1

• 1.5

• 2