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Syllabus

Arithmetic and Geometric Progression — Syllabus

ICSE · Class 10 · Mathematics

What Arithmetic and Geometric Progression covers in ICSE Class 10 Mathematics: 4 topics, for the 2026-27 session.

36 questions31 flashcards9 formulas & key relations5 concepts

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An infographic summarizing how an A.P. is affected when a constant is added to, subtracted from, multiplied by, or divided by each term.
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4 Topics · ICSE Class 10 Mathematics · 2026-27

Topics in Arithmetic and Geometric Progression

1

Basic Ideas and Definitions

  • A sequence arranged according to a certain rule is called a sequence.
  • The sequence that follows certain rule is called a progression.
  • An arithmetic progression has a constant difference between consecutive terms.
2

Arithmetic Progression and Its Formulas

  • The first term of an A.P. is represented by a.
  • The common difference of an A.P. is represented by d.
  • The nth term of an A.P. is represented by Tn.
3

Selecting Numbers in Arithmetic Progression

  • If three numbers are in A.P. and their sum is given, they are taken as a-d, a, a+d.
  • If four numbers are in A.P. and their sum is given, they are taken as a-3d, a-d, a+d, a+3d.
  • If five numbers are in A.P. and their sum is given, they are taken as a-2d, a-d, a, a+d, a+2d.
4

Geometric Progression and Its Formulas

  • A geometric progression consists of non-zero numbers.
  • In a G.P., the ratio of any term and its preceding term is constant.
  • The first term of a G.P. is represented by a.

Key Concepts

Central concept: Sequences and progressions with special patterns in terms, differences, ratios, nth terms, and sums

SequenceProgressionArithmetic ProgressionGeometric ProgressionCommon DifferenceCommon Rationth TermSum of n Terms

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Frequently Asked Questions

What are the important topics in Arithmetic and Geometric Progression for ICSE Class 10 Mathematics?
Key topics in Arithmetic and Geometric Progression include Basic Ideas and Definitions, Arithmetic Progression and Its Formulas, Selecting Numbers in Arithmetic Progression, Geometric Progression and Its Formulas. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How should I revise Arithmetic and Geometric Progression for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 36 practice questions on Arithmetic and Geometric Progression. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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