Chapter 5 · Class 10 CBSE · Formula Sheet

Arithmetic Progressions Formulas — Class 10 CBSE

Find nth term and sum of n terms of an arithmetic progression with real-life applications.

Key Formulas

Common Difference

d = a_2 - a_1

nth Term

a_n = a + (n-1)d

Sum of n Terms

S_n = \dfrac{n}{2}[2a + (n-1)d]

Sum (using last term)

S_n = \dfrac{n}{2}(a + l)

Middle Term

a_n = \dfrac{a_{n-1} + a_{n+1}}{2}

Worked Examples

1Using: Application

Apply the key formula from this topic to a sample problem.

Step 1: Identify the formula.

Step 2: Substitute the values.

Step 3: Simplify to get the answer.

Answer: See solution above

Practice Now

Apply these formulas with 60+ practice questions and AI-powered doubt clearing.

Practice Now

More Class 10 CBSE Formulas

Real NumbersPolynomialsPair of Linear Equations in Two VariablesQuadratic EquationsTrianglesCoordinate Geometry

Frequently Asked Questions

How many formulas are in Class 10 CBSE Arithmetic Progressions?+
There are 5 formulas in the Arithmetic Progressions chapter for Class 10 CBSE. Each formula is essential for solving problems in this topic.
How to remember Arithmetic Progressions formulas easily?+
Practice regularly with worked examples, group related formulas together, and use SparkEd's interactive practice mode to reinforce your memory through problem-solving.
Are these Arithmetic Progressions formulas enough for exams?+
Yes, these formulas cover the complete CBSE Class 10 syllabus for Arithmetic Progressions. Practice applying them to different types of questions for full exam readiness.

Master Arithmetic Progressions on SparkEd

Go beyond formulas. Practice at three difficulty levels with instant feedback, step-by-step solutions, and an AI coach.

Start Practising Free

SparkEd Maths provides free formula sheets for Class 1-10 across 7 education boards. All formulas are aligned to the 2025-26 syllabus.