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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 a geometric progression (a_3=80) and (a_6=5120). If (r) is positive, what is (a_1)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is the sum of the first (6) terms of the geometric progression (11,33,99,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf (a=13) and (a_6=416), and (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIn the geometric progression (640,320,160,80,\ldots), which term is (5)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf (a_2=20) and (a_6=5120), what is the positive value of (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhich term of the geometric progression (7,21,63,\ldots) is (5103)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf (a_n=6\cdot4^{n-1}), what is the sum of the first (5) terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is (a_9\div a_5) for the geometric progression (9,27,81,243,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhich of the following conditions is sufficient to identify a sequence with non-zero terms as a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIn a geometric progression (a_3=36) and (a_7=576). If (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is the sum of the first 6 terms of the geometric progression (5, 20, 80, 320, ...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf the sum of the first 4 terms of a geometric progression is stated to be 780 with a = 12 and r = 4, what is the correct evaluation?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf \(a=256\) and \(r=\frac{1}{2}\), what is the value of \(a_9\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIn the geometric progression (8,32,128,512,\ldots), which term is (8192)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsFor a geometric progression with (a=2) and (a_7=1458), if (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is the general term of the geometric progression (216,72,24,8,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhich of the following sequences is a geometric progression with a negative common ratio?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is the sum of the first (5) terms of the geometric progression (6,30,150,750,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf (18,x,200) are in geometric progression and (x>0), what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is the sum of the first 6 terms of the geometric progression (4, 12, 36, 108, ...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard