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Mathematics

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich sequence has a₃ = 50 and common ratio r = 5?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Easy MathematicsIn a geometric progression, a₂ = 15 and a₅ = 405. If r is positive, what is a₁?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Medium 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 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 MathematicsIf \(a_n=2\cdot3^{n-1}\), what will be the value of \(a_4+a_6\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf (4,x,100) are consecutive terms of a positive geometric progression, what is the value of (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf aₙ = 3 × 4ⁿ⁻¹, what is the value of a₄ + a₅?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Medium MathematicsIf a = 81 and r = 1/3, what is the sum of the first 5 terms of the geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Medium MathematicsWhat is the value of a₅ + a₆ for the geometric progression (8, 24, 72, …)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsWhat is the sum of the first (5) terms of the geometric progression (3,15,75,375,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf the first (4) terms of a geometric progression are (2,8,32,128), what is (S_4)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsHow many terms are there up to 1024 in the geometric progression (1, 4, 16, …)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Medium MathematicsWhat is the sum of the first 7 terms of the geometric progression (1, 3, 9, 27, …)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Medium MathematicsIf the sum of the first 5 terms of a geometric progression is 242, with a = 2 and r = 3, which statement is correct?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Medium MathematicsIn the geometric progression (3, 12, 48, 192, …), which term is 3072?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Medium MathematicsWhat is the twelfth term of the geometric progression \(3,6,12,24,\ldots\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf a geometric progression has first term a = 32 and common ratio r = 1/2, what is the sum of the first four terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIn the geometric progression (5, 25, 125, ...), what is a₄?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIf \(a_2=40\) and \(a_5=320\), and the ratio is positive, what is \(r\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIf \(a_1=5\) and \(r=-2\), what are the first four terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium