Author note — to cover

Find the nth term of an increasing linear sequence: the common difference becomes the coefficient of n, the constant adjusts from the first term, e.g. 4n − 1; stress it is a formula in n, never the rule add 4. Decreasing cases are the sibling; quadratic nth terms are Higher. Both tiers. (A25)

Introduction

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Practice and continue

Practice

The nth term of a linear sequence

The common difference as the multiplier of n, adjusted by a constant.

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Using an nth term

Finding a stated term, and testing whether a number belongs by solving for n.