🔢 nth Term Grid

About nth Term Grid

nth Term Grid takes Grade 7 and 8 learners a step beyond continuing a sequence to finding its general rule: an expression for the nth term that gives any term directly. Each worksheet shows a position-and-term table for an arithmetic sequence, and the student finds the nth term rule and uses it to give the next term. Finding the nth term of a linear sequence is a core lower-secondary algebra expectation across the US, UK, Canada and Australia, and it is a genuine moment of mathematical power, turning a list of numbers into a formula that captures the whole pattern. The key insight, that the coefficient of n is the common difference and the constant is found by working back to a notional zeroth term, is exactly what these questions develop. Presenting the sequence as a clear table helps students line up positions with terms and spot the structure. The five levels vary the starting term and common difference so the worksheet stays fresh and reusable. Each page prints cleanly on a standard A4 sheet, and every level downloads with its own answer key giving the nth term rule and the next term. There is no advertising and no sign-up. Use it to master nth-term rules or alongside our pattern games.

Common questions

What is the nth term rule?

A formula that gives any term of a sequence from its position n.

What grade is this for?

Grade 7 to Grade 8 learners aged 11 to 13.

Is an answer key included?

Yes, every level gives the nth term rule and the next term.