Class 10 Exam > Class 10 Videos > Arithmetic Progressions Ex. 5.2 Q - 12 (NCERT Maths Solutions Class 10th)
Arithmetic Progressions Ex. 5.2 Q - 12 (NCERT Maths Solutions Class 10th) Video Lecture
FAQs on Arithmetic Progressions Ex. 5.2 Q - 12 (NCERT Maths Solutions Class 10th) 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 constant difference is called the common difference.
| 2. How do you find the nth term of an arithmetic progression? | |
To find the nth term of an arithmetic progression, you can use the formula: nth term = first term + (n-1) * common difference. Here, the first term is the initial term of the progression, n is the position of the term you want to find, and the common difference is the constant difference between the terms.
| 3. Can the common difference in an arithmetic progression be negative? | |
Yes, the common difference in an arithmetic progression can be negative. In an arithmetic progression, the terms can increase or decrease by the same constant difference. If the common difference is negative, the terms will decrease from one term to the next.
| 4. What is the formula to find the sum of the first 'n' terms of an arithmetic progression? | |
The formula to find the sum of the first 'n' terms of an arithmetic progression is: sum = (n/2) * (2 * first term + (n-1) * common difference). Here, the sum is the total of the 'n' terms, the first term is the initial term of the progression, n is the number of terms, and the common difference is the constant difference between the terms.
| 5. Can an arithmetic progression have a common difference of zero? | |
Yes, an arithmetic progression can have a common difference of zero. In this case, all the terms of the progression will be the same. The progression will be a constant sequence where every term is equal to the first term.
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Nov 23, 2024 Last updated |
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