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Recursive Rule

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

MathematicsIf a₁ = 5, a₂ = 8, and aₙ = 2aₙ₋₁ − aₙ₋₂, what is a₇?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf a₁ = 1, a₂ = 4, and aₙ = aₙ₋₁ + 2aₙ₋₂, what is a₆?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf a₁ = 120 and aₙ₊₁ = aₙ − (n² + n), what is a₅?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf (a_1=2) and (a_{n+1}=a_n+n^2+2n), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsWhich of the following recursive rules represents an arithmetic progression with common difference 3?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf (a_1=50) and (a_{n+1}=a_n-(2n+3)), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf a₁ = 4 and aₙ₊₁ = 2aₙ + n, what is a₄?Class 9Sequences and ProgressionsRecursive ruleLevel 45HardMathematicsIf (a_1=3) and (a_{n+1}=n a_n+2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf a₁ = 1, a₂ = 3, and aₙ = 4aₙ₋₁ − 3aₙ₋₂, what is a₄?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf \(a_1=18\) and \(a_{n+1}=a_n+\frac{a_n}{3}\), what is \(a_2\)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=24) and (a_{n+1}=a_n+\frac{a_n}{3}), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=2) and (a_{n+1}=a_n+n^2+2n+1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=150) and (a_{n+1}=a_n-(4n+3)), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=3) and (a_{n+1}=a_n+6n-1), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=3) and (a_{n+1}=a_n+6n-1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsFor any initial term, which of the following recursive rules generates an arithmetic progression (AP)?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 46MediumMathematicsIf (a_1=5) and (a_{n+1}=2a_n+3), what is the value of (a_3-a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf (a_1=5) and (a_{n+1}=2a_n+3), what is the value of (a_4-a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 46MediumMathematicsIf a₁ = 15 and aₙ₊₁ = aₙ + 8, which term is 71?Class 9Sequences and ProgressionsRecursive ruleLevel 46Medium