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Arithmetic Progressions
Mathematics · CBSE Class 10 · English Medium · 20 questions and answers
Sample questions
- Q: What is an arithmetic progression (AP)?
- A: A list of numbers in which each term is obtained by adding a fixed number (the common difference) to the previous term.
- Q: What is the common difference d of an AP?
- A: d=a_n-a_{n-1}, the difference between any term and the one before it.
- Q: Write the formula for the nth term of an AP.
- A: a_n=a+(n-1)d, where a is the first term and d the common difference.
- Q: Write the formula for the sum of the first n terms of an AP.
- A: S_n=\dfrac{n}{2}\big(2a+(n-1)d\big).
- Q: Write S_n when the last term l is known.
- A: S_n=\dfrac{n}{2}(a+l).
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