In which sequence are terms decreasing by an equal amount but (d) is not (-4)?
Answer and explanation
Correct answer: \(45, 40, 35, 30, \ldots\)
In the sequence \(45, 40, 35, 30, \ldots\), each term is 5 less than the preceding term. Therefore, its common difference is \(d=40-45=-5\), not \(-4\). In contrast, each of the other three sequences has common difference \(-4\). Exam tip: Find the common difference by subtracting the first term from the second term: \(d=a_2-a_1\).
Frequently asked questions
What is the correct answer to this question?
\(45, 40, 35, 30, \ldots\)
Why is this the correct answer?
In the sequence \(45, 40, 35, 30, \ldots\), each term is 5 less than the preceding term. Therefore, its common difference is \(d=40-45=-5\), not \(-4\). In contrast, each of the other three sequences has common difference \(-4\). Exam tip: Find the common difference by subtracting the first term from the second term: \(d=a_2-a_1\).
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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