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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 ruleMedium MathematicsWhich general term is correct for the sequence (5, 17, 37, 65, \ldots)?Class 9Sequences and Progressionsnth termMedium MathematicsWhich explicit rule is correct for the sequence (7,13,23,37,\ldots)?Class 9Sequences and ProgressionsExplicit or general ruleMedium MathematicsWhat is the general term of the sequence 3, 16, 41, 78, …?Class 9Sequences and ProgressionsExplicit or general ruleHard MathematicsWhich of the following sequences has a general term that is a quadratic polynomial (degree 2) in \(n\)?Class 9Sequences and ProgressionsExplicit or general ruleHard MathematicsWhat is the general term of the sequence (1, 5, 11, 19, …)?Class 9Sequences and Progressionsnth termMedium MathematicsWhat is the sum of the first 6 terms of the sequence 3, 7, 13, 21, 31, ...?Class 9Sequences and ProgressionsSequencesHard MathematicsWhich of the following sequences has unequal first differences between consecutive terms, but a second difference of 2 each time?Class 9Sequences and ProgressionsSequencesExpert MathematicsWhich of the following sequences has non-constant first differences but constant second differences between consecutive terms?Class 9Sequences and ProgressionsSequencesExpert MathematicsWhich of the following sequences has non-constant consecutive first differences but constant second differences?Class 9Sequences and ProgressionsSequencesExpert MathematicsIn 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 ProgressionsSequencesExpert MathematicsWhich of the following sequences has equal, non-zero second differences and is therefore an example of a quadratic sequence?Class 9Sequences and ProgressionsSequencesExpert 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 ProgressionsSequencesExpert MathematicsWhich of the following sequences has equal and non-zero second differences between consecutive terms?Class 9Sequences and ProgressionsSequencesExpert MathematicsWhat will be the next term in the sequence (2,11,26,47,74,\ldots)?Class 9Sequences and ProgressionsSequencesExpert MathematicsIn the sequence (4,9,18,31,48,\ldots), the differences are (5,9,13,17,\ldots). What is the next term?Class 9Sequences and ProgressionsSequencesHard MathematicsWhich of the following sequences has equal second differences but is neither an arithmetic progression nor a geometric progression?Class 9Sequences and ProgressionsSequencesHard