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Formulas of Arithmetic Progression Video Lecture | Mathematics (Maths) Class 10

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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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