What is a list called when the difference between consecutive terms is constant?
Answer and explanation
Correct answer: Arithmetic progression
The governing definition is that a sequence is an arithmetic progression when the difference between every term and the term immediately after it remains constant. This fixed value is called the common difference, usually written as d. For example, in 4, 7, 10, 13, the successive differences are 3, 3, and 3, so the sequence is an arithmetic progression. A geometric progression instead has a constant ratio, as in 2, 6, 18, where the ratio is 3. A set is a collection of objects and need not have an order or equal differences, while an equation states that two expressions are equal. Therefore, option A is the correct name.
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What is the correct answer to this question?
Arithmetic progression
Why is this the correct answer?
The governing definition is that a sequence is an arithmetic progression when the difference between every term and the term immediately after it remains constant. This fixed value is called the common difference, usually written as d. For example, in 4, 7, 10, 13, the successive differences are 3, 3, and 3, so the sequence is an arithmetic progression. A geometric progression instead has a constant ratio, as in 2, 6, 18, where the ratio is 3. A set is a collection of objects and need not have an order or equal differences, while an equation states that two expressions are equal. Therefore, option A is the correct name.
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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