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In an AP, (a_3-a_1=14). What is the common difference?
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Answer and explanation
Correct answer: 7
In an AP, \(a_3=a_1+2d\). Therefore, \(a_3-a_1=2d=14\), so \(d=7\). The value \(-7\) would apply only if the given difference were \(-14\). Exam tip: use \(a_m-a_n=(m-n)d\) and carefully count the difference between the term numbers.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
In an AP, \(a_3=a_1+2d\). Therefore, \(a_3-a_1=2d=14\), so \(d=7\). The value \(-7\) would apply only if the given difference were \(-14\). Exam tip: use \(a_m-a_n=(m-n)d\) and carefully count the difference between the term numbers.
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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