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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।

MathematicsWhat is the general term of the geometric progression (6,24,96,384,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIn a geometric progression, the first term is (4) and the fifth term is (324). If (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf (a_n=7\cdot2^{n-1}), which term will be (1792)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is the ninth term of the geometric progression (1024,512,256,128,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf a geometric progression has (a=5) and (r=4), what is the value of (a_6)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is the tenth term of the geometric progression (2, 6, 18, 54, ...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf in a geometric progression a₂ + a₄ = 170 and r = 2, what is the first term a₁?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf (a_1=4) and (a_4=500), and (r) is positive, what will (a_5) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsIf (36,x,100) are consecutive terms of a positive geometric progression, what will (x) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsIf (a_2=22) and (r=3), what is the value of (a_1+a_4)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsWhat will a_6 be in the geometric progression (3, -12, 48, -192, ...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Medium MathematicsIf \(a_1=27\) and \(r=\frac{2}{3}\), what will \(a_4\) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsIf (a_1=15) and (r=2), what will (a_4+a_6) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsWhat is the sum of the first (5) terms of the geometric progression (36,18,9,\frac{9}{2},\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsFor which (x) will (x,24,96) be consecutive terms of a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsIf a_3 = 40 and a_5 = 360, and r is positive, what will a_7 be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Medium MathematicsIf (a_n=5\cdot4^{n-1}), what is the value of (\frac{a_7}{a_4})?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsIn a geometric progression, (a_1=10) and (a_4=270). What will be the positive (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsIf (a_1=3) and (r=4), what will be the product of the first (4) terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsIf (a_2=15) and (a_6=1215), and the ratio is positive, what will (a_7) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert