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Second Differences

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 will have constant second differences?Class 9Sequences and ProgressionsExplicit or general ruleLevel 49MediumMathematicsWhich general term is correct for the sequence (5, 17, 37, 65, \ldots)?Class 9Sequences and Progressionsnth termLevel 48MediumMathematicsWhich explicit rule is correct for the sequence (7,13,23,37,\ldots)?Class 9Sequences and ProgressionsExplicit or general ruleLevel 48MediumMathematicsWhat is the general term of the sequence 3, 16, 41, 78, …?Class 9Sequences and ProgressionsExplicit or general ruleLevel 48HardMathematicsWhich of the following sequences has a general term that is a quadratic polynomial (degree 2) in \(n\)?Class 9Sequences and ProgressionsExplicit or general ruleLevel 48HardMathematicsWhat is the sum of the first 6 terms of the sequence 3, 7, 13, 21, 31, ...?Class 9Sequences and ProgressionsSequencesLevel 43HardMathematicsWhich of the following sequences has unequal first differences between consecutive terms, but a second difference of 2 each time?Class 9Sequences and ProgressionsSequencesLevel 43ExpertMathematicsWhich of the following sequences has non-constant first differences but constant second differences between consecutive terms?Class 9Sequences and ProgressionsSequencesLevel 42ExpertMathematicsWhich of the following sequences has non-constant consecutive first differences but constant second differences?Class 9Sequences and ProgressionsSequencesLevel 42ExpertMathematicsIn the sequence (2,5,9,16,28,\ldots), the differences of differences are (1,3,5,\ldots). What will be the next term?Class 9Sequences and ProgressionsSequencesLevel 41ExpertMathematicsWhich of the following sequences has equal, non-zero second differences and is therefore an example of a quadratic sequence?Class 9Sequences and ProgressionsSequencesLevel 41ExpertMathematicsThe 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 41ExpertMathematicsWhich of the following sequences has equal and non-zero second differences between consecutive terms?Class 9Sequences and ProgressionsSequencesLevel 41ExpertMathematicsWhat will be the next term in the sequence (2,11,26,47,74,\ldots)?Class 9Sequences and ProgressionsSequencesLevel 41ExpertMathematicsIn the sequence (4,9,18,31,48,\ldots), the differences are (5,9,13,17,\ldots). What is the next term?Class 9Sequences and ProgressionsSequencesLevel 44HardMathematicsWhich of the following sequences has equal second differences but is neither an arithmetic progression nor a geometric progression?Class 9Sequences and ProgressionsSequencesLevel 42Hard