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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=4) and (a_{n+1}=2a_n+7), what is the value of (a_4-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_4)?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 \(a_1=24\) and \(a_{n+1}=\frac{a_n}{3}+n^2\), what is \(a_3\)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf \(a_1=96\) and \(a_{n+1}=\frac{a_n}{2}+n^2+n\), what is \(a_3\)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=4) and (a_{n+1}=2a_n+4n-1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=6) and (a_{n+1}=a_n+n(n+4)+2), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=12) and (a_{n+1}=a_n+(-1)^n(3n+1)), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=12) and (a_{n+1}=a_n+(-1)^n(3n+1)), what is (a_5)?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=100) and (a_{n+1}=a_n-(2n^2+n)), what is (a_3)?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 MathematicsIf (a_1=7) and (a_{n+1}=a_n+na_1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsWhich recursive rule is correct for the sequence (9,7,10,6,\ldots)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsWhich recursive rule is correct for the sequence (4,13,40,121,\ldots)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard 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