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Sum to n Terms of Special Series Video Lecture | Mathematics (Maths) Class 11 - Commerce

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FAQs on Sum to n Terms of Special Series Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What is a special series?
Ans. A special series is a mathematical sequence where the terms are generated based on a specific pattern or formula.
2. How can we find the sum of n terms in a special series?
Ans. To find the sum of n terms in a special series, we need to use the formula for the sum of the series. This formula varies depending on the specific pattern or formula of the series.
3. Can you provide an example of a special series and how to find its sum?
Ans. Yes, let's consider the special series 1, 4, 7, 10, 13, ... where each term is obtained by adding 3 to the previous term. To find the sum of the first n terms in this series, we can use the formula: sum = (n/2)(first term + last term). For example, if we want to find the sum of the first 5 terms, the sum would be (5/2)(1 + 13) = 35.
4. Is there a general formula to find the sum of any special series?
Ans. No, there is no general formula to find the sum of any special series as the formula depends on the specific pattern or formula of the series. Each special series may have its own unique formula for finding the sum of its terms.
5. Are there any specific techniques or strategies to identify the pattern in a special series?
Ans. Yes, there are several techniques to identify the pattern in a special series. Some common techniques include observing the differences between consecutive terms, checking for a common ratio or common difference, and looking for any repeating patterns. It may also be helpful to write out the terms of the series and analyze their relationships to find the pattern.
75 videos|238 docs|91 tests

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