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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=30) and (a_{n+1}=a_n-(-1)^n(2n+1)), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=5) and (a_{n+1}=2a_n+(-1)^n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsWhich of the following recursive rules generates a sequence in which each subsequent term depends on both the immediately preceding term and the term number?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=2) and (a_{n+1}=a_n^2+n), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf \(a_1=90\) and \(a_{n+1}=a_n-\frac{n(n+3)}{2}\), what is \(a_4\)?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=2) and (a_{n+1}=(n+1)a_n-1), 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 MathematicsIf (a_1=2), (a_2=6), and (a_n=a_{n-1}+a_{n-2}+5), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=3) and (a_{n+1}=2a_n+5), what is the value of (a_4-a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=2) and (a_{n+1}=2a_n+3n-1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=120) and (a_{n+1}=a_n-(2^n+n)), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=4) and (a_{n+1}=a_n+2^n+n^2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsWhich recursive rule necessarily generates an arithmetic progression if the initial term \(a_1\) is any real number?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=1) and (a_{n+1}=a_n+n^2+3n), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=6) and (a_{n+1}=2a_n+n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf (a_1=9) and (a_{n+1}=a_n+a_1+n^2), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=2), (a_2=7), and (a_n=a_{n-1}+a_{n-2}+n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=2), (a_2=7), and (a_n=a_{n-1}+a_{n-2}+n), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard