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Arithmetic Sequences and Arithmetic Series - Basic Introduction Video Lecture | Quantitative Aptitude for CA Foundation

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FAQs on Arithmetic Sequences and Arithmetic Series - Basic Introduction Video Lecture - Quantitative Aptitude for CA Foundation

1. What is an arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. For example, 2, 5, 8, 11, 14 is an arithmetic sequence with a common difference of 3.
2. How do you find the nth term of an arithmetic sequence?
To find the nth term of an arithmetic sequence, you can use the formula: nth term = first term + (n - 1) * common difference. This formula allows you to calculate the value of any term in the sequence by substituting the respective values for the first term, n, and the common difference.
3. What is an arithmetic series?
An arithmetic series is the sum of the terms in an arithmetic sequence. It is denoted by the letter S and can be calculated using the formula: S = (n/2) * (2a + (n - 1)d), where S is the sum, n is the number of terms, a is the first term, and d is the common difference.
4. How do you find the sum of an arithmetic series?
To find the sum of an arithmetic series, you can use the formula: S = (n/2) * (2a + (n - 1)d), where S is the sum, n is the number of terms, a is the first term, and d is the common difference. Simply substitute the respective values into the formula to calculate the sum.
5. What is the difference between an arithmetic sequence and an arithmetic series?
An arithmetic sequence is a list of numbers with a constant difference between consecutive terms, while an arithmetic series is the sum of the terms in an arithmetic sequence. In other words, an arithmetic sequence is a sequence of numbers, whereas an arithmetic series is the sum of those numbers.
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