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nth Term of a Linear Sequence

When asked to find the n-th term of a linear sequence, you are asked to find the rule or the formula that allows you to find any term in the sequence.

This formula is of the form an + b; where the following criteria must be met:

  • a‘ is any positive or negative number (but not 0)
  • b‘ is any positive or negative number (can be 0)
  • n‘ must be a positive integer (whole number)

To find the n-th term for a sequence you need to go through a few steps.

EXAMPLE I – Sequence in increasing order

EXAMPLE II – Sequence in decreasing order