Commerce Exam  >  Commerce Videos  >  Mathematics (Maths) Class 11  >  Geometric Progression: General term and Sum

Geometric Progression: General term and Sum Video Lecture | Mathematics (Maths) Class 11 - Commerce

74 videos|239 docs|91 tests

FAQs on Geometric Progression: General term and Sum Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What is the general term for a geometric progression?
Ans. The general term for a geometric progression is given by the formula: aₙ = a₁ * r^(n-1), where aₙ represents the nth term, a₁ is the first term, r is the common ratio, and n is the position of the term in the sequence.
2. How do you find the sum of a geometric progression?
Ans. The sum of a geometric progression can be found using the formula: Sₙ = a₁ * (1 - rⁿ) / (1 - r), where Sₙ represents the sum of the first n terms, a₁ is the first term, r is the common ratio, and n is the number of terms.
3. Can the common ratio of a geometric progression be negative?
Ans. Yes, the common ratio of a geometric progression can be negative. The important aspect is that the ratio remains constant between consecutive terms, regardless of its sign.
4. How can I determine if a sequence is a geometric progression?
Ans. To determine if a sequence is a geometric progression, you need to check if the ratio between consecutive terms is constant. If the ratio remains the same throughout the sequence, it is a geometric progression.
5. Can a geometric progression have a common ratio of 1?
Ans. Yes, a geometric progression can have a common ratio of 1. In this case, all the terms in the sequence will be equal, as each term is obtained by multiplying the previous term by 1.
Related Searches

Objective type Questions

,

pdf

,

practice quizzes

,

Important questions

,

shortcuts and tricks

,

Extra Questions

,

Geometric Progression: General term and Sum Video Lecture | Mathematics (Maths) Class 11 - Commerce

,

past year papers

,

mock tests for examination

,

Exam

,

Previous Year Questions with Solutions

,

ppt

,

Geometric Progression: General term and Sum Video Lecture | Mathematics (Maths) Class 11 - Commerce

,

video lectures

,

Free

,

Semester Notes

,

MCQs

,

Viva Questions

,

Geometric Progression: General term and Sum Video Lecture | Mathematics (Maths) Class 11 - Commerce

,

Summary

,

study material

,

Sample Paper

;