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Sequence & Series- Basics Video Lecture | Crash Course for CAT
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FAQs on Sequence & Series- Basics Video Lecture - Crash Course for CAT
| 1. What is the difference between a sequence and a series? |  |
Ans. A sequence is a list of numbers following a specific pattern, while a series is the sum of the terms in a sequence.
| 2. How do you find the nth term of a sequence? | |
Ans. To find the nth term of a sequence, you can use a formula such as \(a_n = a_1 + (n-1)d\) for an arithmetic sequence or \(a_n = a_1 \times r^{n-1}\) for a geometric sequence.
| 3. What is the sum of an arithmetic series? | |
Ans. The sum of an arithmetic series can be calculated using the formula \(S_n = \frac{n}{2}(a_1 + a_n)\), where \(S_n\) is the sum of the first n terms, \(a_1\) is the first term, and \(a_n\) is the nth term.
| 4. How do you determine if a series converges or diverges? | |
Ans. A series converges if the sequence of partial sums approaches a finite value, while it diverges if the sequence of partial sums does not approach a finite value.
| 5. Can you have an infinite sequence that does not form a series? | |
Ans. Yes, an infinite sequence may not form a series if the terms do not have a specific pattern or if the sum of the terms diverges to infinity.
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Nov 21, 2024 Last updated |
Video Description: Sequence & Series- Basics for CAT 2024 is part of Crash Course for CAT preparation.
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