Term-to-Term and Position-to-Term Rules

Two ways to describe a pattern

Term-to-term: how to get the next term from the one before - like each round of a savings club adding a fixed amount to the previous total.

Position-to-term (nth term): a formula that jumps straight to any term, without working through all the ones before it.

Example: Sequence: 3, 7, 11, 15,... Term-to-term rule: add 4. Position-to-term (nth term): 4n - 1 (check: n=1 gives 3, n=4 gives 15).

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