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What is (d) in the sequence (6,6.8,7.6,8.4,\ldots)?

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Answer and explanation

Correct answer: 0.8

In an arithmetic progression, the common difference \(d\) is the difference between consecutive terms. Here, \(d=6.8-6=0.8\). Checking further, \(7.6-6.8=0.8\) and \(8.4-7.6=0.8\). The value 0.6 would result from incorrect decimal subtraction. Exam tip: find \(d=a_2-a_1\) and verify it using the next pair of terms.

Related tags

Arithmetic ProgressionCommon DifferenceDecimal SubtractionClass 10 MathematicsAp Basics

Frequently asked questions

What is the correct answer to this question?

0.8

Why is this the correct answer?

In an arithmetic progression, the common difference \(d\) is the difference between consecutive terms. Here, \(d=6.8-6=0.8\). Checking further, \(7.6-6.8=0.8\) and \(8.4-7.6=0.8\). The value 0.6 would result from incorrect decimal subtraction. Exam tip: find \(d=a_2-a_1\) and verify it using the next pair of terms.

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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