Arithmetic (Linear) Sequences

This video tutorial delves into arithmetic sequences, also known as linear sequences. It explains how to find the n-th term rule, which helps in determining any term in a sequence. The video covers the concept of common difference, demonstrating how it affects the sequence and the n-th term formula. Viewers are encouraged to practice generating sequences and identifying missing numbers in formulas. The tutorial concludes with a brief overview of the key points and a teaser for the next part, which will explore how to determine if a number is part of a sequence.

What is the common difference in an arithmetic sequence?

• The difference between the first and last term

• The difference between consecutive terms

• The product of all terms

• The sum of all terms

If the common difference is 3, what is the n-th term rule?

• 3n + 2

• 3n - 2

• 3n + 1

• 3n - 1

How do you determine the number after 'n' in the n-th term rule?

• By multiplying the common difference by the first term

• By adjusting based on the sequence pattern

• By subtracting the first term from the common difference

• By adding the common difference to the first term

What is the n-th term rule if the common difference is -5?

• -5n - 1

• -5n

• -5n + 2

• -5n + 1

What should you do to find out if a number is part of a sequence?

• Add it to the first term

• Divide it by the common difference

• Substitute it into the n-th term rule

• Check if it is a multiple of the common difference