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Geometric Progression

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

MathematicsWhich rule is correct for the sequence (5,25,125,625,\ldots)?Class 9Sequences and ProgressionsExplicit or general ruleLevel 51Easy MathematicsWhich general term is correct for the sequence (3,9,27,81,\ldots)?Class 9Sequences and ProgressionsExplicit or general ruleLevel 50Easy 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 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 MathematicsIf (a_1=6) and (a_{n+1}=2a_n), what is the value of (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 49Easy MathematicsIf (a_1=3) and (a_{n+1}=5a_n), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 48Easy MathematicsIf (a_1=4) and (a_{n+1}=3a_n), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 48Easy MathematicsWhich recursive rule matches the sequence (81, 27, 9, 3, ...)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Easy MathematicsWhat is the recursive rule for the sequence 2, 4, 8, 16, ...?Class 9Sequences and ProgressionsRecursive ruleLevel 47Easy MathematicsIf \(a_1=12\) and \(a_{n+1}=\frac{a_n}{3}\), what is \(a_3\)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Easy MathematicsIf (a_1=2) and (a_{n+1}=3a_n), what is (a_3)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Easy MathematicsIf \(a_1=64\) and \(a_{n+1}=\frac{a_n}{2}\), what is \(a_4\)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Easy MathematicsIf (a_1=3) and (a_{n+1}=2a_n), what is the value of (a_4)?Class 9Sequences and ProgressionsRecursive ruleLevel 47Easy MathematicsIn the sequence 5, 10, 20, 40, ..., which term is 5120?Class 9Sequences and ProgressionsGeometric ProgressionLevel 43Medium MathematicsWhat is the average of the first (5) terms of the sequence (8,16,32,64,\ldots)?Class 9Sequences and ProgressionsSequencesLevel 43Expert MathematicsIn the sequence 3, 6, 12, 24, ..., which is the first term greater than 500?Class 9Sequences and ProgressionsGeometric ProgressionLevel 43Medium MathematicsLet the general term of a sequence be \(a_n=2^n+1\), where \(n\geq1\). What type of sequence is it?Class 9Sequences and ProgressionsSequencesLevel 43Expert MathematicsWhich of the following sequences is neither an arithmetic progression (AP) nor a geometric progression (GP)?Class 9Sequences and ProgressionsSequencesLevel 42Expert MathematicsWhat will be the 9th term in the sequence (3, −6, 12, −24, …)?Class 9Sequences and ProgressionsSequencesLevel 41Medium MathematicsWhich of the following sequences is neither an arithmetic progression nor a geometric progression?Class 9Sequences and ProgressionsSequencesLevel 41Expert