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Arithmetic Progression & Geometric Progression Video Lecture | Quantitative Aptitude for CA Foundation

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FAQs on Arithmetic Progression & Geometric Progression Video Lecture - Quantitative Aptitude for CA Foundation

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, 5, 8, 11, 14 is an arithmetic progression with a common difference of 3.
2. What is a geometric progression?
Ans. A geometric progression is a sequence of numbers in which each term is obtained by multiplying the previous term by a constant ratio. For example, 2, 6, 18, 54 is a geometric progression with a common ratio of 3.
3. 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 = first term + (n-1) * common difference. For example, in the arithmetic progression 2, 5, 8, 11, the nth term can be found using the formula: nth term = 2 + (n-1) * 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) * (first term + last term), where n is the number of terms. Alternatively, you can use the formula: Sum = (n/2) * (2 * first term + (n-1) * common difference). For example, the sum of the arithmetic progression 2, 5, 8, 11 can be found using either formula.
5. How do you find the sum of a geometric progression?
Ans. The sum of a geometric progression can be found using the formula: Sum = (first term * (1 - common ratio^n)) / (1 - common ratio), where n is the number of terms. For example, the sum of the geometric progression 2, 6, 18, 54 can be found using this formula.
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