CA Foundation Exam > CA Foundation Videos > Quantitative Aptitude for CA Foundation > Introduction: Sequences and Series
Introduction: Sequences and Series Video Lecture | Quantitative Aptitude for CA Foundation
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FAQs on Introduction: Sequences and Series Video Lecture - Quantitative Aptitude for CA Foundation
| 1. What is the difference between a sequence and a series? |  |
Ans. A sequence is a list of numbers arranged in a particular order, while a series is the sum of the terms of a sequence. In other words, a sequence is a set of numbers, whereas a series is the sum of those numbers.
| 2. How can we find the nth term of a sequence? | |
Ans. To find the nth term of a sequence, we need to determine the pattern or rule followed by the sequence. Once the pattern is identified, we can use it to find the value of the nth term. For example, if the sequence follows a linear pattern, we can use the formula: nth term = a + (n-1)d, where a is the first term of the sequence and d is the common difference.
| 3. 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 constant. In other words, each term is obtained by adding a fixed number to the previous term. On the other hand, a geometric sequence is a sequence in which each term is obtained by multiplying the previous term by a fixed number called the common ratio.
| 4. How can we find the sum of a finite arithmetic series? | |
Ans. To find the sum of a finite arithmetic series, we can use the formula: S = (n/2)(a + l), where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term. Alternatively, we can use the formula: S = (n/2)(2a + (n-1)d), where d is the common difference.
| 5. How can we find the sum of a finite geometric series? | |
Ans. To find the sum of a finite geometric series, we can use the formula: S = (a(1 - r^n))/(1 - r), where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms.
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Dec 22, 2024 Last updated |
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