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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 a₆ + a₇ for the geometric progression (2,6,18,...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIf (a=8), (r=3), and (S_4=320), what is the statement?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIn the geometric progression (405,135,45,\ldots), which term is (5)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (a_3=72) and (r=2), what is the value of (a_9)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhat is the sum of the first (4) terms of the geometric progression (2,14,98,686,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (a_1=4) and (r=-3), what is (a_5)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhich term of the geometric progression (10,40,160,\ldots) is (10240)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf the first (4) terms of a geometric progression are (3,15,75,375), what is (S_4)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsHow many terms are there up to (2048) in the geometric progression (2,8,32,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf the sixth term of the geometric progression (x,,3x,,9x,\ldots) is (2430), what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIn a geometric progression (a_2=16) and (a_5=1024). If (r) is positive, what is (a_1)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhat is the sum of the first (6) terms of the geometric progression (9,27,81,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (a=11) and (a_6=352), and (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIn the geometric progression (1024,512,256,128,\ldots), which term is (2)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (a_3=18) and (a_7=1458), what is the positive value of (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhich term of the geometric progression (4,12,36,\ldots) is (972)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (a_n=5\cdot3^{n-1}), what is the sum of the first (6) terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhat is (a_9\div a_4) for the geometric progression (8,16,32,64,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf \(x, y, z\) are three consecutive terms of a geometric progression, which of the following relations is always true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIn a geometric progression (a_2=14) and (a_6=224). If (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard