Arithmetic Progressions
A taxi fare that rises by the same amount every kilometre, the seats in rows that grow by two, a savings plan that adds the same sum each month: each is a list of numbers with a common difference. In this chapter you learn to spot an arithmetic progression, find any of its terms, and add up many terms at once with a formula. Python lists the terms and checks your formulas in a moment.
Part of Mathematics · High School (9–10) (chapter 5)
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Patterns and the nth Term
Spot an arithmetic progression, find its common difference, and write a formula for its nth term. Then use it to find any term, or to find which term has a given value.
The Sum of an Arithmetic Progression
Add the first n terms of an arithmetic progression with a formula, the way young Gauss did, and use it for savings, seats, steps and stacks.