Linear Sequences and Formulas

The video tutorial by Maths with Jay explains how to find an expression for the nth term of a linear sequence. The sequence given is 2, 7, 12, 17, and so on, with a constant difference of 5 between terms. The tutorial demonstrates how to derive the formula for the nth term, which is 5n - 3, by identifying the pattern and verifying it with existing terms. The video also shows how to use the formula to find any term in the sequence, such as the 100th term.

What does 'n' represent in the context of finding the nth term of a sequence?

• The position of a term in the sequence

• The number of sequences

• The value of the first term

• The difference between terms

What is the first step in finding the nth term of a sequence?

• Identify the constant difference

• Find the middle term

• Calculate the last term

• Determine the sequence length

What is the constant difference between the terms in the sequence 2, 7, 12, 17?

• 3

• 4

• 5

• 6

Which of the following best describes a linear sequence?

• A sequence with decreasing differences

• A sequence with increasing differences

• A sequence with a constant difference

• A sequence with a constant ratio

What is the initial component of the formula for a linear sequence with a constant difference of 5?

• 6n

• 3n

• 4n

• 5n

What is the significance of the number 5 in the formula 5n - 3?

• It represents the first term

• It is the constant difference

• It is the last term

• It is the sequence length

How do you determine the number to add or subtract from the linear sequence formula?

• By considering the first term

• By analyzing the previous term

• By looking at the last term

• By examining the constant difference

What adjustment is made to the formula 5n to fit the sequence 2, 7, 12, 17?

• Add 3

• Subtract 3

• Add 5

• Subtract 5

What is the formula for the nth term of the sequence 2, 7, 12, 17?

• 5n - 5

• 5n + 5

• 5n - 3

• 5n + 3

If n equals 4, what is the value of the term using the formula 5n - 3?

• 18

• 16

• 15

• 17