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Arithmetic Progressions

Recognising an AP, finding its nth term, and adding up its first n terms.

Illustration for Sum of First n Terms of an AP: Class 10 Formula and Examples Arithmetic Progressions

Sum of First n Terms of an AP: Class 10 Formula and Examples

See why the sum of an AP is n/2 times first plus last term, use both forms of the formula, find the number of terms from a sum, and recover the nth term from a formula for the sums.

9 min read Equations

Illustration for nth Term of an AP: Formula and Worked Examples, Class 10 Arithmetic Progressions

nth Term of an AP: Formula and Worked Examples, Class 10

Derive the nth term formula of an AP and use it to find any term, decide whether a number is a term, build an AP from two terms, count from the end and solve savings and multiples problems.

8 min read Equations

Illustration for What is an Arithmetic Progression? Class 10 Maths Guide Arithmetic Progressions

What is an Arithmetic Progression? Class 10 Maths Guide

Learn what an arithmetic progression is: first term, common difference, the general form a, a + d, a + 2d, finite and infinite APs, and a sure method to test whether any list of numbers is an AP.

9 min read Equations

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