Mathematics Exam > Mathematics Videos > Mathematics for IIT JAM, GATE, CSIR NET, UGC NET > Sequences - 1
Sequences - 1 Video Lecture | Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
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FAQs on Sequences - 1 Video Lecture - Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
| 1. What are sequences in mathematics? |  |
Ans. In mathematics, sequences are ordered lists of numbers or terms that follow a specific pattern or rule. Each term in a sequence can be identified by its position or index, and the pattern can be used to determine the value of any term in the sequence.
| 2. How are sequences different from series? | |
Ans. While sequences are ordered lists of numbers or terms, series are the sum of the terms in a sequence. In other words, a series is the result of adding up all the terms in a sequence. Sequences focus on the individual terms, while series focus on the overall sum.
| 3. What are arithmetic sequences and how do they work? | |
Ans. Arithmetic sequences are sequences where the difference between consecutive terms is constant. This constant difference is called the common difference, denoted by 'd'. To find any term in an arithmetic sequence, you can use the formula: nth term = first term + (n - 1) * common difference, where 'n' represents the position or index of the term.
| 4. Can sequences have infinite terms? | |
Ans. Yes, sequences can have an infinite number of terms. These are called infinite sequences. In an infinite sequence, there is no last term, and the pattern or rule continues indefinitely. Examples of infinite sequences include the sequence of natural numbers (1, 2, 3, 4, ...) or the sequence of even numbers (2, 4, 6, 8, ...).
| 5. How can sequences be used in real-life applications? | |
Ans. Sequences have various applications in real-life scenarios. For example, in finance, sequences can be used to model the growth of investments or calculate future values. In computer science, sequences play a crucial role in algorithms and coding. Additionally, sequences are utilized in fields like physics, biology, and statistics to analyze patterns and make predictions.
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Nov 22, 2024 Last updated |
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