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What is the common difference in the sequence (2.5,3.0,3.5,4.0,\ldots)?

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Answer and explanation

Correct answer: 0.5

The common difference is found by subtracting a term from the term immediately after it. Here, d = 3.0 - 2.5 = 0.5 and 3.5 - 3.0 = 0.5, so the common difference is 0.5. The value 2.5 is the first term, not the difference. Exam tip: In an AP, subtract any term from the next consecutive term.

Related tags

Arithmetic ProgressionsCommon DifferenceDecimal TermsClass 10

Frequently asked questions

What is the correct answer to this question?

0.5

Why is this the correct answer?

The common difference is found by subtracting a term from the term immediately after it. Here, d = 3.0 - 2.5 = 0.5 and 3.5 - 3.0 = 0.5, so the common difference is 0.5. The value 2.5 is the first term, not the difference. Exam tip: In an AP, subtract any term from the next consecutive term.

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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