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Learn what is geometric progression (GP), a type of sequence where each term is multiplied by a fixed number. Find the nth term, common ratio, sum of n terms and infinite GP formulas with examples and video lessons.
- 6 min
- Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which...
- The example of GP is: 3, 6, 12, 24, 48, 96,…
- The general form of a Geometric Progression (GP) is given by a, ar, ar 2 , ar 3 , ar 4 ,…,ar n-1 a = First term r = common ratio ar n-1 = nth term
- The common multiple between each successive term and preceding term in a GP is the common ratio. It is a constant value that is multiplied by each...
- If the common ratio between each term of a geometric progression is not equal then it is not a GP.
- If a, ar, ar 2 , ar 3 ,……ar n-1 is the given Geometric Progression, then the formula to find sum of GP is: S n = a + ar + ar 2 + ar 3 +…+ ar n-1 Or...
- Overview
- GP
- Sum of GP
- Common Ratio
This article explains the concept of Geometric Progression (GP) and how to find the sum of a given GP. It also mentions the formula for finding the sum of finite terms in a GP, infinite GP, common ratio in a GP and how to calculate it.
A sequence of terms where each succeeding term is generated by multiplying each preceding term with a constant value, called the common ratio. The sequence is called a geometric progression (GP).
To find the sum of finite terms in a G.P., use formula S n = a + ar + ar^2 + … + ar^n-1 and for infinite G.P., use formula S_∞ = a/(1 - r).
The constant value used to generate each succeeding term in the sequence, also known as the ratio between successive terms.
- 6 min
A geometric progression (GP) is a progression the ratio of any term and its previous term is equal to a fixed constant. It is a special type of progression.
Class 10 and 11 students can practise the questions based on geometric progression to prepare for the exams. These geometric progression problems are prepared by our subject experts, as per the NCERT curriculum and latest CBSE syllabus (2022-2023). Learn more: Geometric Progression.
May 28, 2024 · A geometric progression (GP) is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. The nth term of the Geometric series is denoted by an and the elements of the sequence are written as a1, a2, a3, a4, …, an.
A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r. For example, the sequence 1, 2, 4, 8, 16, 32… is a geometric sequence with a common ratio of r = 2.
The sum of GP for finite terms is a(r^n-1)/(r-1) when r ≠ 1. If r = 1, then the sum turns out to be na. The sum of infinite terms f GP is a/(1-r) when |r| < 1, otherwise, the sum does not exist. Learn more about GP sum along with examples.
