Chapter 11 · Class 10 ICSE · Formula Sheet

Arithmetic & Geometric Progression Formulas — Class 10 ICSE

Find nth terms and sums of arithmetic and geometric progressions with applications.

Key Formulas

AP nth Term

a_n = a + (n-1)d

AP Sum

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

GP nth Term

a_n = ar^{n-1}

GP Sum (r < 1)

S_n = \dfrac{a(1 - r^n)}{1 - r}

GP Sum (r > 1)

S_n = \dfrac{a(r^n - 1)}{r - 1}

Infinite GP (|r| < 1)

S_\infty = \dfrac{a}{1 - r}

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

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Frequently Asked Questions

How many formulas are in Class 10 ICSE Arithmetic & Geometric Progression?+
There are 6 formulas in the Arithmetic & Geometric Progression chapter for Class 10 ICSE. Each formula is essential for solving problems in this topic.
How to remember Arithmetic & Geometric Progression 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 & Geometric Progression formulas enough for exams?+
Yes, these formulas cover the complete ICSE Class 10 syllabus for Arithmetic & Geometric Progression. Practice applying them to different types of questions for full exam readiness.

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