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Second Order Recurrence

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

MathematicsWhich of the following is a second-order recursive rule that requires two initial terms to determine a sequence uniquely?Class 9Sequences and ProgressionsRecursive ruleExpert MathematicsIf (a_1=2), (a_2=3), and (a_n=5a_{n-1}-4a_{n-2}+3), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleExpert MathematicsIf (a_1=1), (a_2=3), and (a_n=3a_{n-1}-a_{n-2}+n), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleExpert MathematicsIf a₁ = 2, a₂ = 5, and aₙ = 2aₙ₋₁ + 3aₙ₋₂, what is a₅?Class 9Sequences and ProgressionsRecursive ruleExpert MathematicsWhich of the following recursive rules generally requires two initial terms to determine a sequence uniquely?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf (a_1=2), (a_2=4), and (a_n=4a_{n-1}-3a_{n-2}+2), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 4, a₂ = 10, and aₙ = 3aₙ₋₁ − 2aₙ₋₂, what is a₅?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf (a_1=1), (a_2=5), and (a_n=2a_{n-1}-a_{n-2}+2), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 3, a₂ = 7, and aₙ = 3aₙ₋₁ − 2aₙ₋₂, what is a₅?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 5, a₂ = 8, and aₙ = 2aₙ₋₁ − aₙ₋₂, what is a₇?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 1, a₂ = 3, and aₙ = 4aₙ₋₁ − 3aₙ₋₂, what is a₄?Class 9Sequences and ProgressionsRecursive ruleMedium MathematicsIf (a_1=1), (a_2=3), and (a_n=4a_{n-1}-3a_{n-2}), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleMedium MathematicsIf (a_1=1), (a_2=2), and (a_n=3a_{n-1}-2a_{n-2}), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleMedium MathematicsIf (a_1=4), (a_2=9), and (a_n=2a_{n-1}-a_{n-2}), what is (a_6)?Class 9Sequences and ProgressionsRecursive ruleMedium MathematicsIf (a_1=1), (a_2=3), and (a_n=2a_{n-1}+a_{n-2}), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleMedium MathematicsIf (a_1=1), (a_2=3), and (a_n=2a_{n-1}+a_{n-2}), what is (a_5)?Class 9Sequences and ProgressionsRecursive ruleMedium MathematicsIf (a_1=2), (a_2=5), and (a_n=2a_{n-1}-a_{n-2}), what is (a_6)?Class 9Sequences and ProgressionsRecursive ruleMedium MathematicsIf a_1 = 2, a_2 = 6, and a_n = a_{n-1} + a_{n-2}, what is a_6?Class 9Sequences and ProgressionsRecursive ruleEasy