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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।

MathematicsIn the geometric progression (5,-20,80,-320,\ldots), what is (a_5+a_3)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsIf (a_1=4) and the sum of the first (5) terms is (484), and (r) is a positive integer, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsWhich geometric progression has (a_1=32) and (a_5=2)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsIf in a geometric progression a_2 + a_4 = 90 and r = 3, what will a_1 be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54MediumMathematicsIn the geometric progression (9,18,36,\ldots), what is the greatest term less than (600)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsIf (x+2,3x,6x+4) are consecutive positive terms of a geometric progression, what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsIf (a_3=36) and (a_7=576), and the ratio is positive, what will (a_1) be?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsIn the geometric progression (384,192,96,48,\ldots), which term is (6)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsIf \(a_n=4\cdot3^{n-1}\), what will be the value of \(a_4+a_6\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsWhich sequence has both (a_3=45) and (a_6=1215)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsIf \(p, q, r\) are three consecutive non-zero terms of a geometric progression, which of the following relations must be true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsIf (a_1=7) and (a_5=1792), what will be the positive common ratio?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsIf (6,x,150) are consecutive terms of a positive geometric progression, what is the value of (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsWhat is the seventh term of the geometric progression (8, -16, 32, -64, ...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54MediumMathematicsAll terms of a sequence are non-zero. Which of the following conditions, if true for every suitable n, confirms that the sequence is a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsWhich of the following sequences is a geometric progression in which each term is obtained by multiplying the preceding term by the same fixed number?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54ExpertMathematicsHow many terms of the geometric progression (6,18,54,\ldots) have sum (2184)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56HardMathematicsIf (a=5) and (r=4), what is the value of (a_5+a_6)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56HardMathematicsIn the geometric progression (150,50,\frac{50}{3},\frac{50}{9},\ldots), which term is (\frac{50}{81})?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56HardMathematicsIf (a_8=1792) and (a=7), and (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard