Index: Arithmetic Progressions

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FAQs on Index: Arithmetic Progressions - 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. For example, 2, 4, 6, 8, 10 is an arithmetic progression with a common difference of 2.
 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 = 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. For example, -5, -2, 1, 4, 7 is an arithmetic progression with a common difference of 3.
 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)(2a + (n-1)d), where 'n' is the number of terms, 'a' is the first term, and 'd' is the common difference.
 5. What is the importance of arithmetic progressions in mathematics?
Ans. Arithmetic progressions are important in many areas of mathematics, including number theory, algebra, and calculus. They are used to study patterns, series, and sequences, and have applications in various real-life scenarios such as financial calculations, physics, and computer science. Understanding arithmetic progressions helps in solving problems involving linear growth or progression.
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