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Formulas of Arithmetic Progression Video Lecture | Mathematics (Maths) Class 10
FAQs on Formulas of Arithmetic Progression Video Lecture - Mathematics (Maths) 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.
| 2. How do you 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 = a + (n - 1)d, where 'a' is the first term and 'd' is the common difference.
| 3. Can an arithmetic progression have a negative common difference? | |
Ans. Yes, an arithmetic progression can have a negative common difference. In this case, the terms of the progression will decrease as you move along the sequence.
| 4. How do you find the sum of an arithmetic progression? | |
Ans. The sum of an arithmetic progression can be found using the formula: sum = (n/2)(first term + last term), where 'n' is the number of terms in the progression.
| 5. What is the common difference of an arithmetic progression if the first term is 3 and the fifth term is 13? | |
Ans. To find the common difference, we can use the formula: common difference = (fifth term - first term)/(5 - 1) = (13 - 3)/4 = 10/4 = 2. Therefore, the common difference is 2.
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