CA Foundation Exam > CA Foundation Videos > Quantitative Aptitude for CA Foundation > Arithmetic Sequences and Arithmetic Series - Basic Introduction
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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