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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 value of a₅ + a₆ for the geometric progression (8, 24, 72, …)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf (a=6), (S_4=240), and (r=3), what is the statement?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIn the geometric progression (512,256,128,\ldots), which term is (4)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf (a_4=80) and (r=2), what is the value of (a_9)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsWhat is the sum of the first (5) terms of the geometric progression (3,15,75,375,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsA plant produces 160 units on the first day, and on each following day its production becomes \(\frac{3}{2}\) times that of the previous day. A student states that the total production for the first four days is 1120 because 160 units were added each day. Which conclusion is correct?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsWhich term of the geometric progression (6,24,96,\ldots) is (6144)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf the first (4) terms of a geometric progression are (2,8,32,128), what is (S_4)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsHow many terms are there up to 1024 in the geometric progression (1, 4, 16, …)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54MediumMathematicsIf the fifth term of the geometric progression (x,,2x,,4x,\ldots) is (80), what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIn a geometric progression (a_3=48) and (a_6=384). If (r) is positive what is (a_1)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsWhat is the sum of the first (7) terms of the geometric progression (4,12,36,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf (a=3) and (a_7=192), and (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIn the geometric progression (729,243,81,27,\ldots), which term is (1)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf (a_2=12) and (a_5=324), what is the positive value of (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsWhich term of the geometric progression (2,10,50,\ldots) is (1250)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf (a_n=7\cdot2^{n-1}), what is the sum of the first (6) terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsWhat is (a_8\div a_5) for the geometric progression (5,15,45,135,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsThree non-zero numbers \(p, q, r\), in this order, form a geometric progression if which condition is true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIn a geometric progression (a_3=20) and (a_6=160). If (r) is positive what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard