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Quadratic Sequence

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich of the following sequences has non-constant consecutive first differences but constant second differences?Class 9Sequences and ProgressionsSequencesLevel 42Expert MathematicsIf (a_n=n^2+cn) and (a_4=32), what will be the value of (a_9)?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsIf (a_n=pn^2+q), (a_1=5) and (a_2=14), what will be (a_4)?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsWhich of the following sequences has equal, non-zero second differences and is therefore an example of a quadratic sequence?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsThe second differences between consecutive terms of a sequence are all equal and non-zero. What type of sequence is it generally?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsWhich of the following sequences has equal and non-zero second differences between consecutive terms?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsFor the sequence 6, 14, 26, 42, ..., a_n = 2n² + 2n + 2. What is the value of a_15 - a_13?Class 9Sequences and ProgressionsExplicit or general ruleLevel 41Medium MathematicsIf the first differences of a sequence are not constant but its second differences are constant, what type of sequence is it generally?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsThe sequence (3,12,27,48,75,\ldots) has general term (a_n=3n^2). What is (a_8-a_6)?Class 9Sequences and ProgressionsSequencesLevel 44Hard MathematicsWhich formula is correct for the sequence (3,7,13,21,31,\ldots)?Class 9Sequences and ProgressionsSequencesLevel 44Hard MathematicsIn the sequence (3,6,11,18,27,\ldots), (a_n=n^2+2). What is (a_9)?Class 9Sequences and ProgressionsSequencesLevel 44Hard MathematicsIn the sequence (4,7,12,19,28,\ldots), (a_n=n^2+3). Which term is (84)?Class 9Sequences and ProgressionsSequencesLevel 44Hard MathematicsWhich sequence is formed by (a_n=7n^2)?Class 9Sequences and ProgressionsSequencesLevel 43Hard MathematicsWhat will (a_6) be for the rule (a_n=3n^2+4n)?Class 9Sequences and ProgressionsSequencesLevel 43Hard MathematicsIf (a_n=4n^2-3n), what will be the value of (a_7)?Class 9Sequences and ProgressionsSequencesLevel 43Hard MathematicsIf (a_n=4n^2-3n+2), what is the value of (a_5-a_2)?Class 9Sequences and ProgressionsSequencesLevel 42Hard MathematicsWhich sequence is formed by (a_n=6n^2)?Class 9Sequences and ProgressionsSequencesLevel 42Hard MathematicsWhat will (a_5) be for the rule (a_n=2n^2+5n)?Class 9Sequences and ProgressionsSequencesLevel 42Hard MathematicsIf (a_n=3n^2-2n), what will be the value of (a_6)?Class 9Sequences and ProgressionsSequencesLevel 42Hard MathematicsIf (a_n=2n^2+n), what is the value of (a_5-a_3)?Class 9Sequences and ProgressionsSequencesLevel 43Medium