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Sequences and Series Solved Examples for JEE Video Lecture | Mathematics (Maths) for JEE Main & Advanced

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FAQs on Sequences and Series Solved Examples for JEE Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. How do you find the sum of an arithmetic series?
Ans. To find the sum of an arithmetic series, you can use the formula: Sn = n/2 * (a + l), where Sn is the sum of the series, n is the number of terms, a is the first term, and l is the last term.
2. What is the difference between an arithmetic sequence and an arithmetic series?
Ans. An arithmetic sequence is a list of numbers with a common difference between consecutive terms, while an arithmetic series is the sum of all the terms in an arithmetic sequence.
3. How do you determine if a sequence is arithmetic or geometric?
Ans. To determine if a sequence is arithmetic, you need to check if there is a common difference between consecutive terms. If there is a constant difference, it is an arithmetic sequence. For a geometric sequence, you need to check if there is a common ratio between consecutive terms.
4. How can you find the common ratio in a geometric series?
Ans. To find the common ratio in a geometric series, you can divide any term by the previous term. The result will give you the common ratio.
5. Can you have a series with an infinite number of terms?
Ans. Yes, it is possible to have a series with an infinite number of terms, known as an infinite series. These series can either converge to a finite value or diverge to infinity.
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