Linear Sequences and Their 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 examining the sequence and its differences. The formula is verified by checking it against known terms in the sequence. Finally, the tutorial shows how to use the formula to find any term in the sequence, such as the 100th term.

What is the purpose of finding an expression for the nth term in a sequence?

• To identify the first term

• To calculate the sum of all terms

• To determine the constant difference

• To find any term in the sequence

In the sequence 2, 7, 12, 17, what is the constant difference between consecutive terms?

• 6

• 4

• 5

• 3

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

• Identify the sequence type

• Find the last term

• Calculate the sum of terms

• Determine the constant difference

What type of sequence is characterized by a constant difference between terms?

• Exponential sequence

• Geometric sequence

• Linear sequence

• Quadratic sequence

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

• 5n

• 4n

• 3n

• 6n

Which of the following is NOT a characteristic of a linear sequence?

• Constant difference between terms

• Predictable pattern

• Straight-line graph

• Exponential growth

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

• By adding the constant difference to the last term

• By dividing the first term by the constant difference

• By examining the sequence and considering a term before the first

• By multiplying the first term by the constant difference

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

• Add 5

• Subtract 5

• Subtract 3

• Add 3

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

• 5n - 2

• 5n + 3

• 5n - 3

• 5n + 2

How do you find the term before the first term in a sequence?

• Subtract the constant difference from the first term

• Add the constant difference to the first term

• Multiply the first term by the constant difference

• Divide the first term by the constant difference