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Sequence & Series Quick Revision Video Lecture | Quantitative Aptitude for CA Foundation

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FAQs on Sequence & Series Quick Revision Video Lecture - Quantitative Aptitude for CA Foundation

1. What is the difference between a sequence and a series?
Ans. A sequence is an ordered list of numbers, whereas a series is the sum of the terms in a sequence. In other words, a sequence is a collection of numbers in a specific order, while a series is the result of adding up the terms of a sequence.
2. How do you find the nth term of a sequence?
Ans. To find the nth term of a sequence, you need to identify the pattern or rule that governs the sequence. Once you have identified the pattern, you can use it to find the value of any term in the sequence. For example, if the sequence follows the pattern of adding 3 to each term, the nth term can be found by multiplying n by 3.
3. What is the formula for the sum of an arithmetic series?
Ans. The formula for the sum of an arithmetic series is Sn = (n/2)(a + l), where Sn represents the sum of the series, n is the number of terms, a is the first term, and l is the last term. This formula allows you to find the sum of an arithmetic series without having to add up each individual term.
4. How do you find the sum of a geometric series?
Ans. To find the sum of a geometric series, you can use the formula Sn = a(1 - r^n) / (1 - r), where Sn represents the sum of the series, a is the first term, r is the common ratio, and n is the number of terms. This formula allows you to find the sum of a geometric series without having to add up each individual term.
5. What is the difference between an arithmetic sequence and a geometric sequence?
Ans. An arithmetic sequence is a sequence in which the difference between consecutive terms is always the same, while a geometric sequence is a sequence in which each term is obtained by multiplying the previous term by a constant ratio. In other words, in an arithmetic sequence, the terms increase or decrease by a fixed amount, while in a geometric sequence, the terms increase or decrease by a fixed ratio.
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