Unit-I: Sets and Functions

Chapter 1: Sets

10 Topics | 4 Quizzes
Chapter 2: Relations & Functions

14 Topics | 4 Quizzes
Chapter 3: Trigonometric Functions

15 Topics | 4 Quizzes
Unit-II: Algebra

Chapter 1: Principle of Mathematical Induction

3 Topics | 5 Quizzes
Chapter 2: Complex Numbers and Quadratic Equations

9 Topics | 4 Quizzes
Chapter 3: Linear Inequalities

6 Topics | 5 Quizzes
Chapter 4: Permutations and Combinations

4 Topics | 5 Quizzes
Chapter 5: Binomial Theorem

5 Topics | 5 Quizzes
Chapter 6: Sequence and Series

10 Topics | 4 Quizzes
Unit-III: Coordinate Geometry

Chapter 1: Straight Lines

16 Topics | 5 Quizzes
Chapter 2: Conic Sections

5 Topics | 4 Quizzes
Chapter 3. Introduction to Three–dimensional Geometry

7 Topics | 4 Quizzes
Unit-IV: Calculus

Chapter 1: Limits and Derivatives

6 Topics | 4 Quizzes
Unit-V: Mathematical Reasoning

Chapter 1: Mathematical Reasoning

15 Topics | 6 Quizzes
Unit-VI: Statistics and Probability

Chapter 1: Statistics

6 Topics | 5 Quizzes
Chapter 2: Probability

7 Topics | 4 Quizzes
If (constant), for then is called a Geometric Sequence or Geometric Progression (G.P). and the series is called a geometric series. The constant is known as the common ratio .

__Note -:__

(i) If , common ratio , then

(ii) No term of a GP can be zero, for otherwise will be meaningless for the corresponding value of .

** Partial Sum of a Geometric Series -:**

For a geometric series with and common ratio ratio ,

, for

If , then , for every , so that

__Sum of Geometric Series -:__

If < , i.e. < < then . When . So for the geometric series with < .

We have

Therefore ; if < and diverges if .

Hence the geometric series converges if < and diverges if .

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