CA Foundation Exam > CA Foundation Videos > Quantitative Aptitude for CA Foundation > Sequences and Series
Sequences and Series Video Lecture | Quantitative Aptitude for CA Foundation
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FAQs on Sequences and Series Video Lecture - Quantitative Aptitude for CA Foundation
| 1. What is a sequence in mathematics? |  |
Ans. A sequence in mathematics is a list of numbers arranged in a specific order. Each number in the sequence is called a term, and the position of each term is denoted by its index. For example, the sequence 2, 4, 6, 8, 10 is an example of an arithmetic sequence where each term is obtained by adding 2 to the previous term.
| 2. What is the difference between an arithmetic and a geometric sequence? | |
Ans. In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. For example, the sequence 2, 5, 8, 11, 14 is an arithmetic sequence with a common difference of 3.
On the other hand, in a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. For example, the sequence 2, 6, 18, 54, 162 is a geometric sequence with a common ratio of 3.
| 3. What is the formula to find the nth term of an arithmetic sequence? | |
Ans. The formula to find the nth term of an arithmetic sequence is given by:
nth term = a + (n - 1) * d
where a is the first term of the sequence and d is the common difference. This formula allows us to find any term in the arithmetic sequence by substituting the appropriate values for n, a, and d.
| 4. How do you determine if a sequence is arithmetic or geometric? | |
Ans. To determine if a sequence is arithmetic, you need to check if the difference between consecutive terms is constant. If the difference is constant, then the sequence is arithmetic.
To determine if a sequence is geometric, you need to check if the ratio between consecutive terms is constant. If the ratio is constant, then the sequence is geometric.
| 5. What is the sum of an arithmetic series? | |
Ans. The sum of an arithmetic series can be found using the formula:
Sum = (n/2) * (2a + (n-1) * d)
where n is the number of terms in the series, a is the first term, and d is the common difference. This formula allows us to find the sum of any arithmetic series by substituting the appropriate values.
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Nov 21, 2024 Last updated |
Video Description: Sequences and Series for CA Foundation 2024 is part of Quantitative Aptitude for CA Foundation preparation.
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