Which statement is true for an arithmetic progression?
Answer and explanation
Correct answer: Each next term is obtained by adding the same number to the previous term
In an arithmetic progression, the difference between consecutive terms is constant. Therefore, each next term is obtained by adding the same fixed number to the previous term; this number is called the common difference. For example, in 3, 7, 11, 15, the common difference is 4. Multiplication or division between consecutive terms may describe a geometric progression, while the sum of the terms is not always 0. Exam tip: subtract consecutive terms; if all the differences are equal, the sequence is an AP.
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What is the correct answer to this question?
Each next term is obtained by adding the same number to the previous term
Why is this the correct answer?
In an arithmetic progression, the difference between consecutive terms is constant. Therefore, each next term is obtained by adding the same fixed number to the previous term; this number is called the common difference. For example, in 3, 7, 11, 15, the common difference is 4. Multiplication or division between consecutive terms may describe a geometric progression, while the sum of the terms is not always 0. Exam tip: subtract consecutive terms; if all the differences are equal, the sequence is an AP.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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