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

MathematicsSuppose \(a_1\ne0\). Which recursive rule produces a sequence in which each next term has twice the magnitude of the previous term and the opposite sign?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 12 and aₙ₊₁ = aₙ/3 + 2n, what is a₃?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 10 and aₙ₊₁ = aₙ + (−1)ⁿ⁺¹(n + 2), what is a₅?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 2, a₂ = 5, and aₙ = 2aₙ₋₁ + aₙ₋₂, what is a₅?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 80 and aₙ₊₁ = aₙ − (3n + 2), what is a₅?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 5 and aₙ₊₁ = aₙ + n², which term is 35?Class 9Sequences and ProgressionsRecursive ruleMedium 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 ruleHard MathematicsWhich of the following recursive rules, with \(a_1=5\), defines an arithmetic progression with common difference 3?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 150 and aₙ₊₁ = aₙ - (5n + 4), what is a₄?Class 9Sequences and ProgressionsRecursive ruleMedium MathematicsIf a₁ = 4 and aₙ₊₁ = aₙ + 7n - 2, what is a₄?Class 9Sequences and ProgressionsRecursive ruleMedium MathematicsWhich of the following recursive rules guarantees an arithmetic progression for any initial term?Class 9Sequences and ProgressionsRecursive ruleHard 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 ruleHard 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 ruleHard MathematicsIf a₁ = 6 and aₙ₊₁ = aₙ + (-1)ⁿ(2n), what is a₅?Class 9Sequences and ProgressionsRecursive ruleMedium MathematicsIf a₁ = 3 and aₙ₊₁ = aₙ + 2ⁿ − n, what is a₅?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 1, a₂ = 4, and aₙ = aₙ₋₁ + 2aₙ₋₂, what is a₆?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 120 and aₙ₊₁ = aₙ − (n² + n), what is a₅?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsWhich of the following recursive rules represents an arithmetic progression with common difference 3?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 4 and aₙ₊₁ = 2aₙ + n, what is a₄?Class 9Sequences and ProgressionsRecursive ruleHard MathematicsIf a₁ = 1, a₂ = 3, and aₙ = 4aₙ₋₁ − 3aₙ₋₂, what is a₄?Class 9Sequences and ProgressionsRecursive ruleMedium