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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 = 10 and aₙ₊₁ = aₙ + (−1)ⁿ⁺¹(n + 2), what is a₅?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 MathematicsIf a₁ = 3, a₂ = 7, and aₙ = 3aₙ₋₁ − 2aₙ₋₂, what is a₅?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard MathematicsIf a₁ = 2, a₂ = 5, and aₙ = 2aₙ₋₁ + aₙ₋₂, what is a₅?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 a₁ = 80 and aₙ₊₁ = aₙ − (3n + 2), what is a₅?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_2)?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=100) and (a_{n+1}=a_n-n^2), which term is (70)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf a₁ = 5 and aₙ₊₁ = aₙ + n², which term is 35?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsWhich recursive rule is correct for the sequence (10,17,31,59,\ldots)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsWhich recursive rule is correct for the sequence (3,8,18,38,\ldots)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsLet \(r\) be a constant and \(a_1\ne 0\). Which of the following recursive rules necessarily makes the sequence a geometric progression?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=2) and (a_{n+1}=n a_n+3), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=40) and (a_{n+1}=a_n-\frac{3n}{2}), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=5) and (a_{n+1}=a_n+\frac{3n}{2}), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsWhich of the following recursive rules, with \(a_1=5\), defines an arithmetic progression with common difference 3?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=1), (a_2=2), and (a_n=3a_{n-1}-2a_{n-2}+1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard