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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=5) and (a_{n+1}=a_n+8n-3), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=5) and (a_{n+1}=a_n+8n-3), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsWhich of the following recursive rules will generate an arithmetic progression with common difference \(4\), for any initial term \(a_1\)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=4), (a_2=8), and (a_n=a_{n-1}+a_{n-2}+6), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=4) and (a_{n+1}=2a_n+7), what is the value of (a_3-a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=4) and (a_{n+1}=2a_n+7), what is the value of (a_4-a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=9) and (a_{n+1}=a_n+8), what is (a_{12})?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=11) and (a_{n+1}=a_n+7), which term is (74)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=4) and (a_{n+1}=a_n^2-a_n+1), what is (a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=2), (a_2=6), and (a_n=a_{n-1}+a_{n-2}+3n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf \(a_1=24\) and \(a_{n+1}=\frac{a_n}{3}+n^2\), what is \(a_3\)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf \(a_1=96\) and \(a_{n+1}=\frac{a_n}{2}+n^2+n\), what is \(a_3\)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsWhich of the following rules completely defines a sequence recursively?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=4) and (a_{n+1}=2a_n+4n-1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf a₁ = 200 and aₙ₊₁ = aₙ − n(n + 4) − 2, what is a₄?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=6) and (a_{n+1}=a_n+n(n+4)+2), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=6) and (a_{n+1}=a_n+n(n+4)+2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=12) and (a_{n+1}=a_n+(-1)^n(3n+1)), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf a₁ = 150 and aₙ₊₁ = aₙ − (2ⁿ + n²), what is a₄?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard MathematicsIf (a_1=150) and (a_{n+1}=a_n-(2^n+n^2)), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Hard