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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=2), (a_2=6), and (a_n=a_{n-1}+a_{n-2}+5), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf (a_1=2) and (a_{n+1}=a_n^2+a_n+1), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf (a_1=9) and (a_{n+1}=a_n+a_1+n^2), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf (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 45HardMathematicsIf (a_1=150) and (a_{n+1}=a_n-(5n+4)), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf (a_1=5), (a_2=9), and (a_n=a_{n-1}+a_{n-2}+4), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf (a_1=6) and (a_{n+1}=2a_n+4), what is the value of (a_4-a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf (a_1=3) and (a_{n+1}=a_n^2-a_n+2), what is (a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsWhich of the following recursive rules generally requires two initial terms to determine a sequence?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf (a_1=2), (a_2=3), and (a_n=a_{n-1}+a_{n-2}+2n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf (a_1=4) and (a_{n+1}=a_n+n(n+1)+2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf (a_1=1), (a_2=3), and (a_n=4a_{n-1}-3a_{n-2}), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=4), (a_2=7), and (a_n=a_{n-1}+a_{n-2}+3), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=4), (a_2=7), and (a_n=a_{n-1}+a_{n-2}+3), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsWhich sequence is defined by a recursive rule?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsA student says that the sequence 5, 8, 11, 14, ... can be written only by an explicit formula and not by a recursive rule. Which recursive rule correctly corrects the student?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=4) and (a_{n+1}=2a_n+5), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=1) and (a_{n+1}=a_n+3^n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=4), (a_2=10), and (a_n=2a_{n-1}-a_{n-2}), what is (a_6)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsWhich of the following rules completely defines a sequence in recursive form?Class 9Sequences and ProgressionsRecursive ruleLevel 46Medium