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Algebra - Progressions Video Lecture - Banking Exams

FAQs on Algebra - Progressions Video Lecture - Banking Exams

1. What is an arithmetic progression?
An arithmetic progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is always the same. This difference is called the common difference, denoted by 'd'. For example, 2, 5, 8, 11, 14 is an arithmetic progression with a common difference of 3.
2. How do I find the nth term of an arithmetic progression?
To find the nth term of an arithmetic progression, you can use the formula: nth term = first term + (n - 1) * common difference. The first term refers to the first number in the sequence, 'n' represents the position of the term you want to find, and the common difference is the constant difference between consecutive terms.
3. What is the sum of an arithmetic progression?
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. The first term and the last term are required to calculate the sum.
4. Can an arithmetic progression have a negative common difference?
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. For example, -1, -4, -7, -10 is an arithmetic progression with a common difference of -3.
5. How can I determine if a sequence of numbers is an arithmetic progression?
To determine if a sequence of numbers is an arithmetic progression, you need to check if the difference between any two consecutive terms is constant. If the difference remains the same throughout the sequence, then it is an arithmetic progression. However, if the difference varies, the sequence is not an arithmetic progression.
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