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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 (1, 3, 9, 27, …)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54MediumMathematicsIf 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 54MediumMathematicsIf \(a=96\) and \(r=\frac{1}{2}\), what is the value of \(a_7\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIn the geometric progression (3, 12, 48, 192, …), which term is 3072?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54MediumMathematicsFor a geometric progression with (a=4) and (a_6=972), if (r) is positive what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsWhat is the general term of the geometric progression (81,27,9,3,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsLet \(x, y, z\) be three consecutive non-zero terms of a geometric progression. Which of the following relation is always true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf the common ratio of a geometric progression is negative, which statement about the signs of its consecutive terms is correct?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf (8,x,72) are in geometric progression and (x>0), what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsWhat is the sum of the first (6) terms of the geometric progression (2,6,18,54,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsWhat is the general term of the geometric progression (10,30,90,270,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIn a geometric progression the first term is (6) and the fifth term is (486). If (r) is positive what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf (a_n=4\cdot3^{n-1}) which term will be (2916)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsWhat is the ninth term of the geometric progression (256,128,64,32,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf a geometric progression has (a=5) and (r=3) what is the value of (a_8)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsWhat is the twelfth term of the geometric progression \(3,6,12,24,\ldots\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54HardMathematicsIf \(a_n=7\cdot2^{n-1}\), what is the value of \(a_4+a_5\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55MediumMathematicsWhat is the next term in the geometric progression (48,-24,12,-6,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55MediumMathematicsFor which (x) will (12,x,75) be consecutive terms of a positive geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55MediumMathematicsIf a geometric progression has (a_3=20) and (r=3), what will (a_6) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium