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Sequences and Series — Revision Notes

CBSE · Class 11 · Applied Mathematics

Sequences and Series revision notes for CBSE Class 11 Applied Mathematics: 4 topics in quick points. Includes Basic Concepts - Sequences and Series.

45 questions25 flashcards5 formulas & key relations5 concepts

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Key Topics to Revise

1

Basic Concepts - Sequences and Series

  • A sequence is an ordered arrangement of numbers following a specific rule
  • A finite sequence has countable terms, infinite sequence has uncountable terms
  • Terms are denoted as a₁, a₂, a₃, ..., aₙ where aₙ is the general term
2

Arithmetic Progression (AP)

  • Each term (except first) is obtained by adding a constant to the previous term
  • Common difference d = aₙ₊₁ - aₙ (constant for all n)
  • Can have positive, negative, or zero common difference
3

Arithmetic Mean (AM)

  • AM of two numbers a and b is (a+b)/2
  • Single AM between a and b makes a, AM, b an AP
  • Can insert multiple AMs between two numbers
4

Geometric Progression (GP)

  • Each term (except first) is obtained by multiplying previous term by a constant
  • Common ratio r = aₙ₊₁/aₙ (constant for all n, r ≠ 0)
  • Three numbers a, b, c are in GP if b² = ac

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Full Notes

Key Concepts

A sequence is an ordered arrangementA sequence where each term afterA sequence where each term afterThe arithmetic mean of two numbersThe geometric mean of two positive

Frequently Asked Questions

What are the important topics in Sequences and Series for CBSE Class 11 Applied Mathematics?
Key topics in Sequences and Series include Basic Concepts - Sequences and Series, Arithmetic Progression (AP), Arithmetic Mean (AM), Geometric Progression (GP). Study these first, then practise questions on each for Class 11 exams.
How should I revise Sequences and Series for Class 11 exams?
Learn the core ideas first, then work through the 45 practice questions on Sequences and Series. 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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All CBSE Class 11 Applied Mathematics Revision Notes

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