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Which of the following sequences has equal and non-zero second differences between consecutive terms?

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Answer and explanation

Correct answer: \(5,9,15,23,\ldots\)

For option A, the first differences are \(4,6,8\), so the second differences are \(2,2\), which are equal and non-zero. In B, the second difference is \(0\). Exam tip: list two levels of differences carefully.

Related tags

SequencesSecond DifferencesQuadratic SequenceNumber PatternsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(5,9,15,23,\ldots\)

Why is this the correct answer?

For option A, the first differences are \(4,6,8\), so the second differences are \(2,2\), which are equal and non-zero. In B, the second difference is \(0\). Exam tip: list two levels of differences carefully.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sequences.

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