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Arithmetic Progression Video Lecture | Crash Course for UAE Grade 10
FAQs on Arithmetic Progression Video Lecture - Crash Course for UAE Grade 10
| 1. What is an arithmetic progression? |  |
Ans. An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is constant. For example, 2, 5, 8, 11, 14 is an arithmetic progression with a common difference of 3.
| 2. How do you find the nth term of an arithmetic progression? | |
Ans. The nth term of an arithmetic progression can be found using the formula: nth term = first term + (n - 1) × common difference. This formula allows us to find any term in the sequence by plugging in the values of the first term, common difference, and the desired value of n.
| 3. What is the sum of n terms in an arithmetic progression? | |
Ans. The sum of the first n terms in an arithmetic progression can be calculated using the formula: sum = (n/2) × (first term + last term). In this formula, the first term and last term represent the endpoints of the sequence, and n represents the number of terms being summed.
| 4. How do you find the common difference in an arithmetic progression? | |
Ans. To find the common difference in an arithmetic progression, subtract any term from its preceding term. The result will give the constant difference between consecutive terms. For example, if the second term is 8 and the first term is 2, the common difference is 8 - 2 = 6.
| 5. Can an arithmetic progression have a negative common difference? | |
Ans. Yes, an arithmetic progression can have a negative common difference. The common difference simply represents the change between consecutive terms, and it can be positive, negative, or zero. For example, the sequence 10, 7, 4, 1 is an arithmetic progression with a common difference of -3.
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