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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।

MathematicsIf the fifth term of the geometric progression (x,,5x,,25x,\ldots) is (3125), what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIn a geometric progression (a_3=50) and (a_6=6250). If (r) is positive, what is (a_1)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is the sum of the first (7) terms of the geometric progression (6,18,54,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf (a=6) and (a_7=384), and (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf (a_2=18) and (a_6=1458), what is the positive value of (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhich term of the geometric progression (3,15,75,\ldots) is (9375)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf (a_n=9\cdot2^{n-1}), what is the sum of the first (8) terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is (a_9\div a_5) for the geometric progression (4,12,36,108,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhich of the following sequences is not a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIn a geometric progression (a_4=48) and (a_8=768). If (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is the sum of the first 6 terms of the geometric progression 1, 4, 16, 64, …?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIf the sum of the first 5 terms of a geometric progression is 363, with a = 3 and r = 3, which statement is correct?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIf \(a=160\) and \(r=\frac{1}{2}\), what is the value of \(a_6\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIn the geometric progression (5,20,80,320,\ldots), which term is (5120)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsFor a geometric progression with (a=3) and (a_6=96), if (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is the general term of the geometric progression (243,81,27,9,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIn a geometric progression with all terms non-zero, which relation must hold for every interior term \(a_n\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is the sum of the first (8) terms of the geometric progression (8,16,32,64,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf (12,x,108) are in geometric progression and (x>0), what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is the sum of the first 7 terms of the geometric progression (3, 9, 27, 81, ...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard