Arithmetic Progressions
Arithmetic Progressions — Class 10 Maths notes, solved examples, online MCQ test and IMO practice on Vidaara.
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Introduction to Arithmetic Progression (AP
What is a Sequence? A sequence is an ordered list of numbers arranged according to a definite rule. The numbers in a sequence are called its terms , a…
Start this topic → 2Components of an AP
An Arithmetic Progression is completely pinned down by just two numbers: its first term and its common difference . Once you know these two, every oth…
Start this topic → 3General Form and nth Term of an AP
General form of an AP. Building on the first term and common difference , every AP can be written as The key observation is that the number of 's adde…
Start this topic → 4Sum of First n Terms of an AP
What is ? The sum of the first terms of an AP is written . It adds up everything from the first term to the th term: . Adding the terms one by one is …
Start this topic → 5Special Results and Word Problems Based on AP
Three special sums worth memorising. Several everyday sums are themselves APs, and their totals have tidy closed forms that save time in exams. 1. Sum…
Start this topic →Chapter-wide tests
Online Test
10 MCQ • 15 min
IMO / Olympiad Practice
Olympiad level • 15 min
📝 Full Chapter Test (Download & Print)
35 marks • 75 min • with answer key