What is the common difference of the sequence (0.6,1.05,1.50,1.95,\ldots)?
Answer and explanation
Correct answer: 0.45
The common difference is found by subtracting a term from the next term. Here, \(1.05-0.60=0.45\) and \(1.50-1.05=0.45\), so the common difference is \(0.45\). Choosing \(0.40\) would not give the correct difference between consecutive terms. Exam tip: Align decimal points before subtracting decimal numbers.
Frequently asked questions
What is the correct answer to this question?
0.45
Why is this the correct answer?
The common difference is found by subtracting a term from the next term. Here, \(1.05-0.60=0.45\) and \(1.50-1.05=0.45\), so the common difference is \(0.45\). Choosing \(0.40\) would not give the correct difference between consecutive terms. Exam tip: Align decimal points before subtracting decimal 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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