Arithmetic Progression: General Term and Sum

# Arithmetic Progression: General Term and Sum Video Lecture | Mathematics (Maths) Class 11 - Commerce

## Mathematics (Maths) Class 11

75 videos|238 docs|91 tests

## FAQs on Arithmetic Progression: General Term and Sum Video Lecture - Mathematics (Maths) Class 11 - Commerce

 1. What is the general term of an arithmetic progression?
Ans. The general term of an arithmetic progression is given by the formula Tn = a + (n - 1)d, where Tn represents the nth term, a is the first term, and d is the common difference.
 2. How do you find the sum of an arithmetic progression?
Ans. The sum of an arithmetic progression can be calculated using the formula Sn = (n/2)(2a + (n-1)d), where Sn represents the sum of the first n terms, 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. The common difference represents the constant amount added or subtracted to each term in the sequence, and it can be positive or negative.
 4. Is the common difference always the same in an arithmetic progression?
Ans. Yes, the common difference in an arithmetic progression is always the same. It remains constant throughout the sequence, and each term is obtained by adding or subtracting the common difference from the previous term.
 5. How can I determine the number of terms in an arithmetic progression?
Ans. The number of terms in an arithmetic progression can be determined by using the formula n = (Tn - a)/d + 1, where n represents the number of terms, Tn is the nth term, a is the first term, and d is the common difference.

## Mathematics (Maths) Class 11

75 videos|238 docs|91 tests

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