If (a+3d-a=36) in (a,a+d,a+2d,a+3d), what is (d)?
Answer and explanation
Correct answer: \(12\)
Given \(a+3d-a=36\). Cancelling \(a\) gives \(3d=36\), so \(d=36/3=12\). There are three equal gaps, not four, between the first term \(a\) and the fourth term \(a+3d\). Exam tip: In the \(n\)th term \(a+(n-1)d\) of an AP, count the number of gaps between terms carefully.
Frequently asked questions
What is the correct answer to this question?
\(12\)
Why is this the correct answer?
Given \(a+3d-a=36\). Cancelling \(a\) gives \(3d=36\), so \(d=36/3=12\). There are three equal gaps, not four, between the first term \(a\) and the fourth term \(a+3d\). Exam tip: In the \(n\)th term \(a+(n-1)d\) of an AP, count the number of gaps between terms carefully.
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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