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Arithmetic Progression

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 explicit rules represents an arithmetic progression (AP)?Class 9Sequences and ProgressionsExplicit or general ruleLevel 50Easy MathematicsWhat is the general term of the sequence (9,18,27,36,\ldots)?Class 9Sequences and ProgressionsExplicit or general ruleLevel 50Easy MathematicsWhich of the following sequences has a general term that represents an arithmetic progression?Class 9Sequences and ProgressionsExplicit or general ruleLevel 50Easy MathematicsWhat is the general term of the sequence (4, 7, 10, 13, …)?Class 9Sequences and ProgressionsExplicit or general ruleLevel 50Easy MathematicsIn a sequence, each new term is obtained by adding a fixed number to the immediately preceding term. What type of sequence is it?Class 9Sequences and ProgressionsRecursive ruleLevel 46Expert MathematicsIn a sequence, (L_1=6) and (L_n=L_{n-1}+2n+1). What is the value of (L_5)?Class 9Sequences and ProgressionsRecursive ruleLevel 45Expert MathematicsIf (a_1=210) and (a_{n+1}=a_n-(7n+6)), what is (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 44Expert MathematicsWhich of the following recursive rules represents an arithmetic progression (AP) with common difference \(-5\)?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 MathematicsWhich recursive rule necessarily generates an arithmetic progression if the initial term \(a_1\) is any real number?Class 9Sequences and ProgressionsRecursive ruleLevel 46Hard 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 ruleLevel 45Hard MathematicsWhich of the following recursive rules, with \(a_1=5\), defines an arithmetic progression with common difference 3?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsWhich of the following recursive rules guarantees an arithmetic progression for any initial term?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsFor the sequence \(a_1=7\) and \(a_{n+1}=a_n+4\), which is the correct classification of the sequence?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 MathematicsWhich of the following recursive rules represents an arithmetic progression with common difference 3?Class 9Sequences and ProgressionsRecursive ruleLevel 45Hard MathematicsFor any initial term, which of the following recursive rules generates an arithmetic progression (AP)?Class 9Sequences and ProgressionsRecursive ruleLevel 46Medium MathematicsIf a₁ = 15 and aₙ₊₁ = aₙ + 8, which term is 71?Class 9Sequences and ProgressionsRecursive ruleLevel 46Medium MathematicsIf a₁ = 6 and aₙ₊₁ = aₙ + 4, what is a₉?Class 9Sequences and ProgressionsRecursive ruleLevel 46Medium