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Lesson

Common Difference

An Arithmetic Progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is always constant. This constant value is called the common difference and is denoted by d. For example, in the sequence 3, 7, 11, 15…, the difference between each pair of terms is 4. The structure of an AP helps predict patterns and future values with ease.

35min lesson

Objectives3 goals Lesson12 blocks Review11 assets Practice32 items

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Understand common difference in the Arithmetic Progression chapter.
Connect the idea with formulas, examples, and exam-style questions.
Use flashcards, notes, MCQs, and LAQs to check readiness.

Lesson

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12 sections

Concept

Meaning of an Arithmetic Progression

A sequence where each term increases or decreases by a fixed number called the common difference. 💡 Exam Tip: Identify a and d first. For nth term questions, use Tn = a + (n − 1)d. For sum questions, write the sum formula before substitution. ⚠️ Common Mistake: Students often use nd instead of (n − 1)d, or confuse the first term a with the nth term. 📌 Trigger: Find a, find d

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12 lesson sections4 cards / 7 notes18 MCQs / 14 written questions

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Notes

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1
Understanding Arithmetic Progression and Its Structure
2
General Term (nth Term) of an A.P.
3
Finding Unknown Terms or Positions in an A.P.
4
Backward Terms and Last-Term Problems

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18 MCQs14 LAQsMixed test

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Arithmetic Progression

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Now on Common Difference. Next up: nth Term Formula.

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Common Difference

What to understand

Step-by-step lesson

Meaning of an Arithmetic Progression

Meaning of an Arithmetic Progression example