Arithmetic Progression (A.P) and Geometric Progression (G.P)

# Arithmetic Progression (A.P) and Geometric Progression (G.P) Video Lecture | Mathematics (Maths) Class 11 - Commerce

## Mathematics (Maths) Class 11

75 videos|238 docs|91 tests

## FAQs on Arithmetic Progression (A.P) and Geometric Progression (G.P) Video Lecture - Mathematics (Maths) Class 11 - Commerce

 1. What is an arithmetic progression (A.P)?
Ans. An arithmetic progression (A.P) is a sequence of numbers in which the difference between any two consecutive terms is constant. For example, 2, 5, 8, 11, 14 is an arithmetic progression with a common difference of 3.
 2. How do you find the nth term of an arithmetic progression?
Ans. The nth term of an arithmetic progression can be found using the formula: nth term = first term + (n - 1) * common difference. By substituting the values of the first term, common difference, and the desired value of n, we can calculate the nth term.
 3. What is a geometric progression (G.P)?
Ans. A geometric progression (G.P) is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed non-zero number called the common ratio. For example, 2, 6, 18, 54 is a geometric progression with a common ratio of 3.
 4. How do you find the sum of the first n terms of a geometric progression?
Ans. The sum of the first n terms of a geometric progression can be found using the formula: S = (first term * (1 - common ratio^n)) / (1 - common ratio), where S is the sum of the first n terms. By substituting the values of the first term, common ratio, and the desired value of n, we can calculate the sum.
 5. What is the difference between an arithmetic progression and a geometric progression?
Ans. The main difference between an arithmetic progression (A.P) and a geometric progression (G.P) lies in the way the terms are generated. In an A.P, the difference between any two consecutive terms is constant, while in a G.P, each term is obtained by multiplying the previous term by a fixed non-zero number called the common ratio.

## Mathematics (Maths) Class 11

75 videos|238 docs|91 tests

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