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Sequence & Series Video Lecture | Reasoning and Military Aptitude Test for AFCAT
FAQs on Sequence & Series Video Lecture - Reasoning and Military Aptitude Test for AFCAT
| 1. What is a sequence? |  |
Ans. A sequence is a list of numbers arranged in a specific order. It can be finite or infinite and can follow a pattern or rule.
| 2. What is the difference between an arithmetic sequence and a geometric sequence? | |
Ans. In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio.
| 3. How do you find the nth term of an arithmetic sequence? | |
Ans. To find the nth term of an arithmetic sequence, you can use the formula: nth term = first term + (n-1) * common difference. Here, the first term refers to the initial term of the sequence, n represents the position of the term in the sequence, and the common difference is the constant value added to each term.
| 4. What is the sum of an arithmetic series? | |
Ans. The sum of an arithmetic series can be calculated using the formula: sum = (n/2) * (first term + last term), where n is the number of terms in the series, and the first and last terms are the initial and final terms of the series, respectively.
| 5. How do you find the sum of a geometric series? | |
Ans. The sum of a geometric series can be found using the formula: sum = (first term * (1 - ratio^n)) / (1 - ratio), where the first term is the initial term of the series, ratio is the common ratio between consecutive terms, and n is the number of terms in the series.
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