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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 sum of the first 7 terms of the geometric progression (2,8,32,128,...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIf the sum of the first 4 terms of a geometric progression is 340 with a = 4 and r = 4, what is the statement?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIf \(a=192\) and \(r=\frac{1}{2}\), what is the value of \(a_8\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIn the geometric progression (6,18,54,162,\ldots), which term is (4374)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsFor a geometric progression with (a=9) and (a_5=2304), if (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhat is the general term of the geometric progression \(100,50,25,\frac{25}{2},\ldots\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhich condition is necessary and sufficient for a sequence with non-zero terms to be a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhat is the sum of the first (5) terms of the geometric progression (4,20,100,500,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (12,x,75) are in geometric progression and (x>0), what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhat is the sum of the first 6 terms of the geometric progression (3,9,27,81,...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsWhat is the general term of the geometric progression (12,48,192,768,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIn a geometric progression, the first term is (5) and the seventh term is (320). If (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (a_n=6\cdot2^{n-1}), which term will be (1536)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhat is the sixth term of the geometric progression (625,125,25,5,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf three non-zero numbers \(x, y, z\), in this order, are consecutive terms of a geometric progression, which relation must hold?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhat is the twelfth term of the geometric progression (7,14,28,56,...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIf (a_1=5) and (a_4=625), and (r) is positive, what will (a_5) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsWhich option can form a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf (16,x,81) are consecutive terms of a positive geometric progression, what will (x) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf (a_2=14) and (r=5), what is the value of (a_1+a_3)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert