GCSE Maths - How to Write Expressions for the nth term of Arithmetic Sequences #55

The video tutorial explains how to write an expression for the nth term of an arithmetic sequence. It covers the concept of arithmetic sequences, demonstrates how to find specific terms using expressions, and provides a method to derive expressions for sequences. The tutorial also includes examples of applying these techniques to different sequences, ensuring a comprehensive understanding of the topic.

What is an arithmetic sequence?

• A sequence where the same value is added or subtracted each time.

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

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

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

How can you find the third term in the sequence using the expression 4n + 1?

• By substituting n with 4.

• By substituting n with 5.

• By substituting n with 2.

• By substituting n with 3.

What is the benefit of using an expression to find terms in a sequence?

• It provides the average of the sequence.

• It helps in finding the sum of all terms.

• It allows you to find any term without listing all previous terms.

• It gives the product of all terms.

What is the first step in deriving the expression for an arithmetic sequence?

• Identifying the first term.

• Finding the sum of the sequence.

• Finding the common difference.

• Calculating the average of the sequence.

How do you determine the imaginary first term in a sequence?

• By adding the common difference to the first term.

• By subtracting the common difference from the first term.

• By multiplying the first term by the common difference.

• By dividing the first term by the common difference.

What is the expression for a sequence with a common difference of -5 and a first term of 26?

• -5n - 26

• 5n - 31

• -5n + 31

• 5n + 26

How can you verify if your expression for a sequence is correct?

• By checking if it gives the correct sum of the sequence.

• By using it to find a known term and comparing the result.

• By ensuring it matches the average of the sequence.

• By confirming it provides the product of all terms.