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