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Recurrence Relation

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

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 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 MathematicsWhich of the following recursive rules requires two initial terms to determine all the terms of a sequence?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=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) and (a_{n+1}=a_n^2-a_n+1), what is (a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=3) and (a_{n+1}=a_n^2-2a_n+3), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=2), (a_2=6), and (a_n=a_{n-1}+a_{n-2}+3n), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=10) and (a_{n+1}=a_n+2a_1+n^2), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=3) and (a_{n+1}=a_n+3^n+n^2), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=2), (a_2=7), and (a_n=2a_{n-1}+a_{n-2}), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=5) and (a_{n+1}=2a_n+n^2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsA sequence is defined by the recursive rule \(a_{n+1}=a_n+2n\), where \(n\geq 1\). Which statement about this sequence must be true?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=1) and (a_{n+1}=2a_n+n^2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf \(a_1=6\) and \(a_{n+1}=a_n+\frac{a_n}{2}+n\), what is \(a_3\)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=1), (a_2=5), and (a_n=2a_{n-1}-a_{n-2}+2), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=1) and (a_{n+1}=a_n+3^n+n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=3) and (a_{n+1}=n a_n+2n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard