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Lesson

nth Term Formula

The nth term of an AP is given by a + (n − 1)d, where a is the first term, d is the common difference, and n is the term number. This formula allows you to find any term in the sequence without writing all previous terms. For example, the 20th term of an AP with a = 2 and d = 3 is 2 + 19 × 3 = 59.

40min lesson

Objectives3 goals Lesson12 blocks Review8 assets Practice32 items

Learning objectives

What to understand

3 goals

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Understand nth term formula 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

Step-by-step lesson

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 sections5 cards / 3 notes18 MCQs / 14 written questions

Lesson Notes Flashcards Revision MCQs Written answers Topic test

Notes

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3 notes

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1
General Term (nth Term) of an A.P.
2
Finding Unknown Terms or Positions in an A.P.
3
Common Mistakes and How to Avoid Errors in A.P. Problems

Practice

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32 prompts

18 MCQs14 LAQsMixed test

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In this chapter

Arithmetic Progression

Topic 4 of 7

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nth Term Formula

What to understand

Step-by-step lesson

Meaning of an Arithmetic Progression

Meaning of an Arithmetic Progression example

Common Difference (d)

Common Difference (d) example

nth Term Formula (Tn)

nth Term Formula (Tn) example

Sum of First n Terms (Sn)

Sum of First n Terms (Sn) example

Finding First Term and Common Difference

General Term (nth Term) of an A.P.

Finding Unknown Terms or Positions in an A.P.

Common Mistakes and How to Avoid Errors in A.P. Problems

Meaning of an Arithmetic Progression

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Note highlights

General Term (nth Term) of an A.P.

Finding Unknown Terms or Positions in an A.P.

Common Mistakes and How to Avoid Errors in A.P. Problems

Check this topic

Arithmetic Progression

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Around this topic

nth Term Formula

What to understand

Step-by-step lesson

Meaning of an Arithmetic Progression

Meaning of an Arithmetic Progression example

Common Difference (d)

Common Difference (d) example

nth Term Formula (Tn)

nth Term Formula (Tn) example

Sum of First n Terms (Sn)

Sum of First n Terms (Sn) example

Finding First Term and Common Difference

General Term (nth Term) of an A.P.

Finding Unknown Terms or Positions in an A.P.

Common Mistakes and How to Avoid Errors in A.P. Problems

Meaning of an Arithmetic Progression

Choose your next activity

Note highlights

General Term (nth Term) of an A.P.

Finding Unknown Terms or Positions in an A.P.

Common Mistakes and How to Avoid Errors in A.P. Problems

Check this topic

Arithmetic Progression

Mark this topic complete

Around this topic