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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 \(a_n=81\left(\frac{1}{3}\right)^{n-1}\), what is \(a_2+a_5\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIn the geometric progression (a,ar,ar^2,\ldots), (a_2=8) and (a_4=128). What will be (a_6)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf (6,18,54,\ldots) is a geometric progression, what is the value of (a_5-a_3)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf three non-zero numbers \(a, b, c\), in this order, are consecutive terms of a geometric progression, which of the following condition is necessary and sufficient?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIn the geometric progression (1,3,9,27,\ldots), what is the greatest term less than (1000)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf \(a_1=\frac{3}{2}\) and \(r=4\), what will be \(a_5\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsWhich sequence has a₃ = 50 and common ratio r = 5?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Easy MathematicsIf (2,x,18,y) is a geometric progression and all terms are positive, what will (y) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIn a geometric progression, a₂ = 15 and a₅ = 405. If r is positive, what is a₁?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium MathematicsIf \(a_n=48\left(\frac{1}{2}\right)^{n-1}\), what is the value of \(a_3+a_5\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIn the geometric progression (9,-27,81,-243,\ldots), what is (a_6+a_4)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf (a_1=2) and the sum of the first (5) terms is (62), and (r) is a positive integer, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsWhich geometric progression has (a_1=12) and (a_4=\frac{3}{2})?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf \(a_2=10\) and \(a_6=160\) in a geometric progression, and the common ratio is positive, what is \(a_1\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium MathematicsIn the geometric progression (3,6,12,\ldots), what is the greatest term less than (100)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf (x-2,x+4,2x+8) are consecutive positive terms of a geometric progression, what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf a geometric progression has first term \(a=32\) and common ratio \(r=\frac12\), what is the sum of the first four terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium MathematicsIn the geometric progression (160,80,40,20,\ldots), which term is (\frac{5}{2})?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf \(a_n=2\cdot3^{n-1}\), what will be the value of \(a_4+a_6\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsWhich sequence has both (a_2=18) and (a_5=486)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert