What is the common difference of (1.2,1.8,2.4,3.0,\ldots)?
Answer and explanation
Correct answer: 0.6
The common difference is found by subtracting a term from the term immediately after it. Here, \(1.8-1.2=0.6\) and \(2.4-1.8=0.6\). Therefore, the equal difference between consecutive terms is \(0.6\). Although \(0.4\) is a close distractor, it is not the difference between any two consecutive given terms. Exam tip: Verify the common difference using at least two consecutive pairs.
Frequently asked questions
What is the correct answer to this question?
0.6
Why is this the correct answer?
The common difference is found by subtracting a term from the term immediately after it. Here, \(1.8-1.2=0.6\) and \(2.4-1.8=0.6\). Therefore, the equal difference between consecutive terms is \(0.6\). Although \(0.4\) is a close distractor, it is not the difference between any two consecutive given terms. Exam tip: Verify the common difference using at least two consecutive pairs.
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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