If the first differences of a sequence are not constant but its second differences are constant, what type of sequence is it generally?
Answer and explanation
Correct answer: Quadratic sequence
A quadratic sequence usually has the form \(an^2+bn+c\). Its first differences change, but the second difference is constant and equals \(2a\). An arithmetic sequence has a constant first difference instead. Exam tip: make a difference table to identify it quickly.
Frequently asked questions
What is the correct answer to this question?
Quadratic sequence
Why is this the correct answer?
A quadratic sequence usually has the form \(an^2+bn+c\). Its first differences change, but the second difference is constant and equals \(2a\). An arithmetic sequence has a constant first difference instead. Exam tip: make a difference table to identify it quickly.
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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