What is the common difference of (2k,2k+3,2k+6,2k+9,\ldots)?
Answer and explanation
Correct answer: \(3\)
To find the common difference, subtract a term from the term immediately after it. Here, \((2k+3)-2k=3\) and \((2k+6)-(2k+3)=3\). Thus, the difference between every pair of consecutive terms is \(3\). \(2k+3\) is the second term, not the common difference. Exam tip: In an AP, check the differences of at least two consecutive pairs of terms to confirm that they are equal.
Frequently asked questions
What is the correct answer to this question?
\(3\)
Why is this the correct answer?
To find the common difference, subtract a term from the term immediately after it. Here, \((2k+3)-2k=3\) and \((2k+6)-(2k+3)=3\). Thus, the difference between every pair of consecutive terms is \(3\). \(2k+3\) is the second term, not the common difference. Exam tip: In an AP, check the differences of at least two consecutive pairs of terms to confirm that they are equal.
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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