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Recursive Sequence

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

MathematicsIf a₁ = 5, a₂ = 11, and aₙ = 3aₙ₋₁ − 2aₙ₋₂, what is a₅?Class 9Sequences and ProgressionsRecursive ruleLevel 44Hard MathematicsWhich of the following rules completely defines a sequence recursively?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=9) and (a_{n+1}=a_n+a_1+n^2), what is (a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsWhich of the following rules defines a sequence recursively?Class 9Sequences and ProgressionsRecursive ruleLevel 44Medium MathematicsIf (a_1=1) and (a_{n+1}=a_n+n), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Easy MathematicsIf (a_1=2) and (a_{n+1}=a_n+3), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Easy MathematicsIf (a_1=2) and (a_{n+1}=2a_n+n^2), what will (a_4) be?Class 9Sequences and ProgressionsSequencesLevel 42Expert MathematicsIf (a_1=2) and (a_{n+1}=3a_n-1), what will be the value of (a_5)?Class 9Sequences and ProgressionsSequencesLevel 42Expert MathematicsIf (a_1=3) and (a_{n+1}=a_n+n^2), what will be (a_6)?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsIn the sequence (1,4,13,40,121,\ldots), each next term is obtained by multiplying the previous term by (3) and adding (1). What is the sixth term?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsIf (a_1=4) and (a_{n+1}=a_n+2n+1), what is the value of (a_7)?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsIf (a_1=1) and (a_{n+1}=2a_n+n), what will be (a_5)?Class 9Sequences and ProgressionsSequencesLevel 41Expert MathematicsIf (a_1=9), (a_2=16), and each next term is the sum of the previous two terms, what is (a_6)?Class 9Sequences and ProgressionsSequencesLevel 43Hard MathematicsWhich of the following sequences has the property that, from the third term onward, each term equals the sum of the two immediately preceding terms?Class 9Sequences and ProgressionsSequencesLevel 43Hard MathematicsWhat is the next term of (4,10,14,24,38,\ldots) if each new term is the sum of the previous two terms?Class 9Sequences and ProgressionsSequencesLevel 43Hard MathematicsIf a₁ = 8, a₂ = 13, and each next term is the sum of the previous two terms, what is a₆?Class 9Sequences and ProgressionsRecursive ruleLevel 42Medium MathematicsWhat will be the next term of (6,10,16,26,42,\ldots)?Class 9Sequences and ProgressionsSequencesLevel 42Hard MathematicsWhat will be the next term of (8,13,21,34,55,\ldots)?Class 9Sequences and ProgressionsSequencesLevel 43Medium MathematicsWhat will be the next term of (4,7,11,18,29,\ldots)?Class 9Sequences and ProgressionsSequencesLevel 41Medium