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Recursive Sequences

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

MathematicsIf (a_1=8) and (a_{n+1}=a_n+n(n+2)+2^n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 44Expert MathematicsIf (a_1=2), (a_2=6), and (a_n=a_{n-1}+2a_{n-2}+n^2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 44Expert MathematicsIf (a_1=3) and (a_{n+1}=4a_n-(n+1)), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 44Expert MathematicsIf (a_1=90) and (a_{n+1}=a_n-(n!+2n)), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 44Expert MathematicsIf (a_1=5) and (a_{n+1}=a_n+n!+n), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 44Expert MathematicsIf (a_1=6) and (a_{n+1}=a_n+2^n+n^2), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 44Expert MathematicsIf (a_1=1), (a_2=3), and (a_n=3a_{n-1}-a_{n-2}+n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 44Expert MathematicsIf (a_1=4) and (a_{n+1}=3a_n+n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 44Expert MathematicsIf (a_1=6) and (a_{n+1}=a_n+a_1+n^2), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=6) and (a_{n+1}=a_n+a_1+n^2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsWhich of the following recursive rules generally requires two initial terms to determine a sequence uniquely?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=2), (a_2=8), and (a_n=a_{n-1}+2a_{n-2}+n), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=3) and (a_{n+1}=n a_n+4), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=2), (a_2=4), and (a_n=4a_{n-1}-3a_{n-2}+2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=180) and (a_{n+1}=a_n-(6n+5)), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=5) and (a_{n+1}=a_n+8n-3), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=5) and (a_{n+1}=a_n+8n-3), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=4), (a_2=8), and (a_n=a_{n-1}+a_{n-2}+6), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=4), (a_2=8), and (a_n=a_{n-1}+a_{n-2}+6), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=4) and (a_{n+1}=2a_n+7), what is the value of (a_3-a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard