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Revision Notes
Geometric Progression — Revision Notes
Gujarat Board · Class 11 · Statistics
Geometric Progression revision notes for Gujarat Board Class 11 Statistics: 4 topics in quick points. Includes Meaning and Definition of Geometric.
45 questions20 flashcards7 formulas & key relations5 concepts
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Key Topics to Revise
1
Meaning and Definition of Geometric Progression
- A sequence where the ratio of consecutive terms is constant (non-zero)
- Each term is obtained by multiplying the previous term by a fixed number called common ratio (r)
- Examples: 3, 6, 12, 24... (r = 2); 4, -12, 36, -108... (r = -3); 2, 1, 1/2, 1/4... (r = 1/2)
2
Formula for nth Term
- General term formula: T(n) = ar^(n-1) where a is first term and r is common ratio
- The sequence can be written as: a, ar, ar², ar³, ar⁴...
- For any G.P., if first term and common ratio are known, any term can be calculated
3
Geometric Series and Sum Formulas
- Geometric series is the sum of terms of a geometric progression
- Sum of first n terms is denoted by S(n)
- Different formulas for r = 1 and r ≠ 1 cases
4
Three Consecutive Terms in G.P.
- Special form for three consecutive terms: a/r, a, ar
- This form simplifies calculations when sum and product are given
- Middle term is 'a', other terms are obtained by dividing and multiplying by r
Get complete notes with diagrams and examples
Full NotesKey Concepts
A sequence where the ratioThe constant value by which eachTn = ar^(nWhen r = 1When three consecutive terms are unknown
Frequently Asked Questions
What are the important topics in Geometric Progression for Gujarat Board Class 11 Statistics?
Key topics in Geometric Progression include Meaning and Definition of Geometric Progression, Formula for nth Term, Geometric Series and Sum Formulas, Three Consecutive Terms in G.P.. Study these first, then practise questions on each for Class 11 exams.
How should I revise Geometric Progression for Class 11 exams?
Learn the core ideas first, then work through the 45 practice questions on Geometric Progression. Revise definitions regularly and use flashcards for quick recall before the exam.
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