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 three terms numbers and form a G.P, then is said to be the Geometric Mean (G.M) of and .

Here (common ratio)

is always positive.

Therefore geometric mean between and is or .

**Geometric Mean of terms in G.P**

If are n positive numbers in G.P, then their Geometric Mean is defined as:

**Note -:**

The terms are called the geometric means between and .

** Some Facts about G.P -:**

(i) If each term of a GP is multiplied (divided) by a fixed non-zero constant, then the resulting sequence is also a GP.

(ii) If are two geometric progressions, then the sequence is also in GP.

(iii) If we have to take three terms in GP, then we take them as and four terms as .

(iv) If is a GP then is an AP.

Suppose is a GP.

Let , where , is the first term and is the common ratio of the GP.

Then,

Then

Where is the base of the logarithm.

This shows that is a GP, with first term and common ratio .

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