What is the common difference in (-8,-3,2,7,\ldots)?
Answer and explanation
Correct answer: 5
The common difference is the difference between consecutive terms. Here, the second term is −3 and the first term is −8, so \((-3)-(-8)=5\). Also, \(2-(-3)=5\) and \(7-2=5\), confirming the same difference. Therefore, the common difference is 5. The close distractor −5 results from reversing the subtraction or mishandling the negative sign. Exam tip: In an AP, calculate next term − previous term.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The common difference is the difference between consecutive terms. Here, the second term is −3 and the first term is −8, so \((-3)-(-8)=5\). Also, \(2-(-3)=5\) and \(7-2=5\), confirming the same difference. Therefore, the common difference is 5. The close distractor −5 results from reversing the subtraction or mishandling the negative sign. Exam tip: In an AP, calculate next term − previous 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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