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Example: nth term of AP - 1 Video Lecture | Crash Course: Class 10
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FAQs on Example: nth term of AP - 1 Video Lecture - Crash Course: Class 10
| 1. What is an arithmetic progression (AP)? |  |
Ans. An arithmetic progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is called the common difference.
| 2. How can we find the nth term of an arithmetic progression (AP)? | |
Ans. To find the nth term of an arithmetic progression, we can use the formula: nth term = first term + (n-1) × common difference. By substituting the values of the first term, common difference, and the desired value of n, we can calculate the nth term.
| 3. Can the common difference in an arithmetic progression be negative? | |
Ans. Yes, the common difference in an arithmetic progression can be negative. The common difference determines the direction of progression. If it is positive, the terms increase, and if it is negative, the terms decrease.
| 4. What is the significance of the first term in an arithmetic progression? | |
Ans. The first term in an arithmetic progression is important as it establishes the starting point of the sequence. It allows us to determine the subsequent terms by applying the common difference.
| 5. How can we determine if a given sequence of numbers is an arithmetic progression? | |
Ans. To determine if a sequence of numbers is an arithmetic progression, we need to check if the difference between any two consecutive terms is constant. If the difference remains the same throughout the sequence, then it is an arithmetic progression.
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