Class 10 Exam > Class 10 Videos > 02 - How to get nth term of an Arithmetic Sequence - Class 10 - Maths
02 - How to get nth term of an Arithmetic Sequence - Class 10 - Maths Video Lecture
FAQs on 02 - How to get nth term of an Arithmetic Sequence - Class 10 - Maths Video Lecture
| 1. How to 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 term number you want to find, and the common difference is the constant difference between consecutive terms.
| 2. Is it necessary for an arithmetic sequence to have a common difference? | |
Ans. Yes, an arithmetic sequence must have a common difference. The common difference is the value added or subtracted to each term to obtain the next term in the sequence. Without a common difference, the sequence would not follow the pattern of arithmetic progression.
| 3. Can the common difference in an arithmetic sequence be negative? | |
Ans. Yes, the common difference in an arithmetic sequence can be negative. It signifies that each term in the sequence decreases by a specific value. For example, if the first term is 10 and the common difference is -2, the sequence would be 10, 8, 6, 4, and so on.
| 4. How can I check if a given sequence is an arithmetic sequence or not? | |
Ans. To check if a given sequence is an arithmetic sequence, you need to examine if the difference between consecutive terms remains constant. Calculate the difference between each pair of adjacent terms in the sequence. If the differences are equal, then the sequence is arithmetic. If the differences vary, then the sequence does not follow the pattern of an arithmetic progression.
| 5. Can I find the nth term of an arithmetic sequence if I only know two terms? | |
Ans. No, you cannot determine the nth term of an arithmetic sequence with only two terms. To find the nth term, you need to know either the common difference or at least three terms of the sequence. With only two terms, you can calculate the common difference, but it is not sufficient to find a specific term in the sequence.
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