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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 \(a_1=6\) and \(a_{n+1}=a_n+\frac{a_n}{2}+n\), what is \(a_3\)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf \(a_1=90\) and \(a_{n+1}=a_n-\frac{n(n+3)}{2}\), what is \(a_4\)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf \(a_1=4\) and \(a_{n+1}=a_n+\frac{n(n+3)}{2}\), what is \(a_5\)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf (a_1=2), (a_2=3), and (a_n=2a_{n-1}+3a_{n-2}), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf a₁ = 200 and aₙ₊₁ = aₙ − (2ⁿ + n²), what is a₄?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf (a_1=2) and (a_{n+1}=(n+1)a_n-1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsWhich recursive rule is correct for the sequence 6, 9, 14, 21, …?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsWhich recursive rule is correct for the sequence (2,5,14,37,\ldots)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsSuppose \(a_1\ne0\). Which recursive rule produces a sequence in which each next term has twice the magnitude of the previous term and the opposite sign?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf (a_1=3) and (a_{n+1}=2a_n+5), what is the value of (a_4-a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf (a_1=7) and (a_{n+1}=a_n+6), what is (a_{10})?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf (a_1=9) and (a_{n+1}=a_n+4), which term is (53)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf (a_1=6) and (a_{n+1}=a_n^2-4a_n), what is (a_3)?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 a₁ = 1, a₂ = 4, and aₙ = aₙ₋₁ + aₙ₋₂ + n, what is a₅?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf a₁ = 12 and aₙ₊₁ = aₙ/3 + 2n, what is a₃?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf \(a_1=64\) and \(a_{n+1}=\frac{a_n}{2}+n^2\), what is \(a_3\)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf (a_1=2) and (a_{n+1}=2a_n+3n-1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf a₁ = 150 and aₙ₊₁ = aₙ − n(n + 2) − 1, what is a₄?Class 9Sequences and ProgressionsRecursive ruleLevel 46HardMathematicsIf (a_1=5) and (a_{n+1}=a_n+n(n+2)+1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard