UGC NET Exam > UGC NET Videos > Crash Course for UGC NET Economics > Past Year Exam: Sequence & Series
Past Year Exam: Sequence & Series Video Lecture | Crash Course for UGC NET Economics
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FAQs on Past Year Exam: Sequence & Series Video Lecture - Crash Course for UGC NET Economics
| 1. What is the difference between an arithmetic sequence and a geometric sequence? |  |
Ans. An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant, while a geometric sequence is a sequence of numbers in which the ratio between any two consecutive terms is constant.
| 2. 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: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference between terms.
| 3. What is the sum of the first n terms of an arithmetic series? | |
Ans. The sum of the first n terms of an arithmetic series can be found using the formula: S_n = n/2 * (2a_1 + (n-1)d), where S_n is the sum of the first n terms, a_1 is the first term, n is the number of terms, and d is the common difference.
| 4. How do you determine if a series is convergent or divergent? | |
Ans. To determine if a series is convergent or divergent, you can use various convergence tests such as the ratio test, the root test, or the integral test. These tests can help determine if the series approaches a finite value (convergent) or if it does not approach a finite value (divergent).
| 5. How can you find the sum of an infinite geometric series? | |
Ans. The sum of an infinite geometric series can be found using the formula: S = a_1 / (1 - r), where S is the sum of the infinite series, a_1 is the first term, and r is the common ratio between terms.
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Dec 25, 2024 Last updated |
Video Description: Past Year Exam: Sequence & Series for UGC NET 2024 is part of Crash Course for UGC NET Economics preparation.
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