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Plants are arranged in rows in a school ground. The numbers of plants in the first four rows are 15, 18, 21, and 24. Which feature proves that this arrangement is an arithmetic progression (AP)?

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Answer and explanation

Correct answer: The difference between consecutive terms is constant

From 15 to 18, 18 to 21, and 21 to 24, the increase is 3 each time. A constant difference identifies an AP. A “three times” rule would describe a geometric pattern. In exams, compare consecutive differences first.

Related tags

Arithmetic ProgressionWord ProblemsCommon DifferenceSequence ClassificationClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

The difference between consecutive terms is constant

Why is this the correct answer?

From 15 to 18, 18 to 21, and 21 to 24, the increase is 3 each time. A constant difference identifies an AP. A “three times” rule would describe a geometric pattern. In exams, compare consecutive differences first.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Word problems based on APs.

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