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Class 10 Maths Chapter 5 Question Answers - Arithmetic Progressions
FAQs on Class 10 Maths Chapter 5 Question Answers - Arithmetic Progressions
| 1. What is an arithmetic progression? |  |
An arithmetic progression is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is called the common difference.
| 2. How can we find the nth term of an arithmetic progression? | |
To find the nth term of an arithmetic progression, we can use the formula:
nth term = first term + (n-1) * common difference
Here, the first term refers to the initial term of the progression, n represents the position of the term in the sequence, and the common difference is the constant difference between consecutive terms.
| 3. How can we determine if a given sequence is an arithmetic progression? | |
To determine if a given sequence is an arithmetic progression, we 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.
| 4. Is it possible for an arithmetic progression to have a negative common difference? | |
Yes, it is possible for an arithmetic progression to have a negative common difference. The common difference can be positive, negative, or zero, depending on the given sequence. However, it is important to note that the common difference remains constant regardless of its sign.
| 5. How can we find the sum of the first n terms of an arithmetic progression? | |
To find the sum of the first n terms of an arithmetic progression, we can use the formula:
Sum = (n/2) * (first term + last term)
Here, n represents the number of terms in the sequence, the first term is the initial term, and the last term is the nth term of the progression. This formula allows us to calculate the sum without actually adding all the terms individually.
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