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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 general term of the geometric progression (14,42,126,378,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIn a geometric progression, the first term is (9) and the fifth term is (2304). If (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf (a_n=8\cdot2^{n-1}), which term will be (4096)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is the eighth term of the geometric progression (729,243,81,27,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf \(x, y, z\) are three consecutive terms of a geometric progression and \(y\ne0\), which of the following relations must be true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is the thirteenth term of the geometric progression (5,15,45,135,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsHow many terms of the geometric progression (4,12,36,\ldots) have sum (484)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (a=3) and (r=5), what is the value of (a_5+a_6)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIn the geometric progression (96,48,24,12,\ldots), which term is (\frac{3}{2})?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (a_7=320) and (a=5), and (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhat is the sum of the first (9) terms of the geometric progression (15,30,60,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (a_1=6) and (a_4=750), and (r) is positive, what is (a_5)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIn the geometric progression (12,24,48,\ldots), if (a_n=1536), what is (n)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf a_n = 2 × 5^(n−1), what is the value of a₄ + a₅?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIn a geometric progression, (a_3=45) and (a_6=1215). What is (a_1)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf (a=162) and (r=\frac{1}{3}), what is the sum of the first (5) terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhich condition is necessary and sufficient for three consecutive non-zero terms \(a,b,c\) of a sequence to be in geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsAll terms of a sequence are non-zero. Which of the following conditions is sufficient to identify the sequence as a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsWhat is the sum of the first (10) terms of the geometric progression (5,10,20,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf \(a_n=128\left(\frac{1}{2}\right)^{n-1}\), which term will be equal to (8)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard