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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=1), (a_2=2), and (a_n=3a_{n-1}-2a_{n-2}+1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf a₁ = 150 and aₙ₊₁ = aₙ - (5n + 4), what is a₄?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf (a_1=4) and (a_{n+1}=a_n+7n-2), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf a₁ = 4 and aₙ₊₁ = aₙ + 7n - 2, what is a₄?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsWhich of the following recursive rules guarantees an arithmetic progression for any initial term?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=5), (a_2=9), and (a_n=a_{n-1}+a_{n-2}+4), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=6) and (a_{n+1}=2a_n+4), what is the value of (a_3-a_2)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsWhich recursive rule correctly represents a geometric sequence whose first term is 5 and in which each successive term is twice the preceding term?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=7) and (a_{n+1}=a_n+5), what is (a_{10})?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=3) and (a_{n+1}=a_n^2-a_n+2), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (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 45Hard MathematicsSuppose a sequence is defined by \(u_1=1\) and \(u_{n+1}=u_n+2n+1\). What type of sequence is it?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=5) and (a_{n+1}=a_n+2a_1+n^2), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf \(a_1=20\) and \(a_{n+1}=\frac{a_n}{2}+3n\), what is \(a_2\)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf a₁ = 100 and aₙ₊₁ = aₙ/2 + 3n, what is a₃?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsA sequence is defined by \(a_1=1\) and \(a_{n+1}=a_n+2n\). Which statement about it is correct?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=3) and (a_{n+1}=2a_n+2n+1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf (a_1=90) and (a_{n+1}=a_n-n(n+1)-2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsIf a₁ = 6 and aₙ₊₁ = aₙ + (-1)ⁿ(2n), what is a₅?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf a₁ = 3 and aₙ₊₁ = aₙ + 2ⁿ − n, what is a₅?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard