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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 a₇ in the geometric progression (1, −3, 9, −27, …)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium MathematicsIf \(a_1=8\) and \(r=\frac{3}{2}\), what will \(a_4\) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf (a_1=11) and (r=3), what will (a_3+a_5) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsWhat is the sum of the first (5) terms of the geometric progression (12,6,3,\frac{3}{2},\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsFor which (x) will (x,12,48) be consecutive terms of a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf a₂ = 20 and a₄ = 80 in a geometric progression, and r is positive, what is a₆?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium MathematicsIf (a_n=7\cdot3^{n-1}), what is the value of (\frac{a_5}{a_3})?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIn the geometric progression (a,ar,ar^2,\ldots), (a_1=9) and (a_4=72). What will be the positive (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf a₁ = 1 and r = 4, what is the product of the first 4 terms of the geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium MathematicsIf all terms of a sequence are non-zero, which of the following conditions is sufficient to identify the sequence as a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIn the geometric progression (2,10,50,\ldots), what is the greatest term less than (6000)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf \(a_2=24\) and \(r=\frac{1}{2}\), what will be \(a_5\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsWhich statement correctly describes the geometric progression (18,6,2,\frac{2}{3},\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf a₁ = 6 and r = 3, what is a₆ − a₄?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium MathematicsThe consecutive terms of a geometric progression are x, 3x, and 27. What is the positive value of x?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium MathematicsIf \(a_n=5\cdot2^{n-1}\), what will (n) be for \(a_n=320\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf a geometric progression has (a_2=6) and (a_4=54), what will be the value of (a_1+a_5)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsWhich geometric progression has common ratio (-\frac{1}{2})?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf (a_3=45) and (a_7=3645), and (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf a₁ = 4 and r = −2 in a geometric progression, what is the sum of the first 5 terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium