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Sequences And Progressions

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

MathematicsIf a₁ = 2, a₂ = 5, and aₙ = aₙ₋₁ + 2aₙ₋₂, what is a₅?Class 9Sequences and ProgressionsRecursive ruleLevel 46Medium MathematicsIf a₁ = 7 and aₙ₊₁ = 3aₙ − 2n, what is a₃?Class 9Sequences and ProgressionsRecursive ruleLevel 46Medium MathematicsIf a₁ = 3 and aₙ₊₁ = 2aₙ + n + 1, what is the value of a₄?Class 9Sequences and ProgressionsRecursive ruleLevel 46Medium MathematicsIf (a_1=60) and (a_{n+1}=a_n-(3n+1)), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Medium MathematicsIf (a_1=5) and (a_{n+1}=a_n+2n+2), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Medium MathematicsIf \(a_1=5\) and \(a_{n+1}=a_n+\frac{n}{2}\), what is \(a_5\)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf (a_1=1), (a_2=2), and (a_n=3a_{n-1}-2a_{n-2}), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf a₁ = 4 and aₙ₊₁ = aₙ + 2aₙ, what is a₄?Class 9Sequences and ProgressionsRecursive ruleLevel 45Easy MathematicsIf (a_1=2) and (a_{n+1}=a_n+n^2+n+1), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf (a_1=2) and (a_{n+1}=a_n+n^2+n+1), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf (a_1=3), (a_2=6), and (a_n=a_{n-1}+a_{n-2}+2), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf (a_1=2) and (a_{n+1}=a_n^2+a_n), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf (a_1=3) and (a_{n+1}=a_n^2-a_n), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf (a_1=2), (a_2=4), and (a_n=a_{n-1}+a_{n-2}+n), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf (a_1=2), (a_2=4), and (a_n=a_{n-1}+a_{n-2}+n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf (a_1=6) and (a_{n+1}=a_n+2a_1+n), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf \(a_1=12\) and \(a_{n+1}=\frac{a_n}{2}+2n\), what is \(a_2\)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf \(a_1=10\) and \(a_{n+1}=\frac{a_n}{2}+2n\), what is \(a_3\)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsIf \(a_1=70\) and \(a_{n+1}=a_n-\frac{n(n+1)}{2}\), what is \(a_4\)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium MathematicsWhich additional information is necessary to determine a sequence uniquely from the recursive rule \(a_{n+1}=2a_n+5\)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Medium