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

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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.
75 videos|238 docs|91 tests

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