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05 - Arithmetic Progressions_Problem Solving_3 - Class 10 - Maths Video Lecture
FAQs on 05 - Arithmetic Progressions_Problem Solving_3 - Class 10 - Maths Video Lecture
| 1. What is an arithmetic progression? |  |
An arithmetic progression is a sequence of numbers in which the difference between any two consecutive terms is constant. This difference is called the common difference. For example, 2, 4, 6, 8, 10 is an arithmetic progression with a common difference of 2.
| 2. How can we find the nth term of an arithmetic progression? | |
To find the nth term of an arithmetic progression, we can use the formula: nth term = first term + (n - 1) × common difference. The first term refers to the initial term of the progression, n represents the position of the term we want to find, and the common difference is the constant difference between consecutive terms.
| 3. Can the common difference in an arithmetic progression be negative? | |
Yes, the common difference in an arithmetic progression can be negative. The common difference represents the change between consecutive terms, and this change can be either positive or negative. For example, in the arithmetic progression 10, 7, 4, 1, the common difference is -3.
| 4. How can we find the sum of the first n terms in an arithmetic progression? | |
To find the sum of the first n terms in an arithmetic progression, we can use the formula: sum = (n/2) × (first term + last term). Here, n represents the number of terms we want to add, the first term is the initial term of the progression, and the last term can be found using the formula: last term = first term + (n - 1) × common difference.
| 5. Can an arithmetic progression have a common difference of zero? | |
Yes, an arithmetic progression can have a common difference of zero. In such cases, all the terms in the progression will be the same. For example, 3, 3, 3, 3, 3 is an arithmetic progression with a common difference of zero.
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Dec 23, 2024 Last updated |
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