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If (-6,s,10,18) are consecutive terms of an arithmetic progression, what will (s) be?

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Answer and explanation

Correct answer: 2

The common difference between consecutive terms is constant. Here, the difference between 10 and 18 is \(18-10=8\). Therefore, the term immediately before 10 is \(10-8=2\), so \(s=2\). Check: in \(-6,2,10,18\), 8 is added each time. Exam tip: first find the common difference using two known adjacent terms near the missing term.

Related tags

Arithmetic ProgressionCommon DifferenceMissing TermConsecutive TermsClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

2

Why is this the correct answer?

The common difference between consecutive terms is constant. Here, the difference between 10 and 18 is \(18-10=8\). Therefore, the term immediately before 10 is \(10-8=2\), so \(s=2\). Check: in \(-6,2,10,18\), 8 is added each time. Exam tip: first find the common difference using two known adjacent terms near the missing 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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