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Introduction - Arithmetic Progression Video Lecture - Class 10
FAQs on Introduction - Arithmetic Progression Video Lecture - Class 10
| 1. What is an arithmetic progression? |  |
Ans. An arithmetic progression is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is called the common difference of the arithmetic progression.
| 2. How can I find the nth term of an arithmetic progression? | |
Ans. To find the nth term of an arithmetic progression, you can use the formula: nth term = first term + (n-1) × common difference. By substituting the values of the first term, common difference, and n into this formula, you can calculate the nth term.
| 3. What is the formula to find the sum of an arithmetic progression? | |
Ans. The formula to find the sum of an arithmetic progression is: sum = (n/2) × (2a + (n-1)d), where 'n' is the number of terms, 'a' is the first term, and 'd' is the common difference. By plugging in the values of 'n', 'a', and 'd' into this formula, you can find the sum.
| 4. Can an arithmetic progression have a negative common difference? | |
Ans. Yes, an arithmetic progression can have a negative common difference. The common difference represents the change between consecutive terms, so it can be positive, negative, or zero. If the common difference is negative, the terms of the progression will decrease as you move along the sequence.
| 5. How can I determine if a given sequence is an arithmetic progression? | |
Ans. To determine if a given sequence is an arithmetic progression, you need to check if the difference between any two consecutive terms is constant. Calculate the difference between each pair of consecutive terms, and if they are all the same, then the sequence is an arithmetic progression.
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