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Subjects

Mathematics

Geometric Progression

गुणोत्तर श्रेणी

In this Class 9 Mathematics topic from Sequences and Progressions, students explore sequences in which each term is obtained by multiplying the preceding term by a fixed number. They learn to identify the common ratio, distinguish a geometric progression from other patterns, write its terms, and use the general term to find a specific position in the sequence. Examples help connect the idea with repeated growth, decrease, and everyday numerical patterns.

Practice questions

What is the fifth term in the geometric progression (96,48,24,12,\ldots)?EasyLevel 57In the geometric progression (2,6,18,54,\ldots) which term is (162)?EasyLevel 57If \(a_n=4\cdot3^{n-1}\) what first three terms does it give?EasyLevel 57What is the general term of the geometric progression (9,36,144,576,\ldots)?EasyLevel 57If (3, 15, 75, □, …) is a geometric progression, what term fills the blank?EasyLevel 57What is the common ratio in the geometric progression (48,24,12,6,\ldots)?EasyLevel 57What will be the sixth term in the geometric progression (5,20,80,320,\ldots)?EasyLevel 57Is (12,36,108,324,\ldots) a geometric progression?EasyLevel 57If (a=3) and (r=6) what are the first four terms?EasyLevel 57Which is the general term of the geometric progression (64,32,16,8,\ldots)?EasyLevel 57What are (a) and (r) in the geometric progression (2,10,50,250,\ldots)?EasyLevel 57Which of the following is a geometric progression?EasyLevel 57In the sequence (3,6,12,24,\ldots) which term is (48)?EasyLevel 57If a geometric progression has (a_1=8) and (a_2=32) what is the common ratio?EasyLevel 57What is the next term of the geometric progression (11,22,44,88,\ldots)?EasyLevel 57What is the fifth term in the geometric progression (160,80,40,20,\ldots)?EasyLevel 57If (y, 4y, 16y, …) is a geometric progression, what is the common ratio?EasyLevel 57What is the common ratio in the geometric progression (8,8,8,8,\ldots)?EasyLevel 57If (a=13) and (r=1) what are the first three terms?EasyLevel 57What is the missing term in the geometric progression (2,\Box,50,250,\ldots)?EasyLevel 57

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