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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=24) and (a_6=648). What is the value of (a_4)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf (a_1=3) and (a_5=243), what will be the positive common ratio?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf (4,x,100) are consecutive terms of a positive geometric progression, what is the value of (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsWhat is the sixth term of the geometric progression (5,-15,45,-135,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsWhich of the following sequences is obtained by multiplying each term by the same non-zero constant to get the next term?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIn a geometric progression, (a_4=54) and (a_7=1458). What will be the positive common ratio (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsHow many terms of the geometric progression (2,6,18,\ldots) have sum (242)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf (a=2) and (r=4), what is the value of (a_5+a_6)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIn the geometric progression (45,15,5,\frac{5}{3},\ldots), which term is (\frac{5}{27})?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf (a_6=224) and (a=7), and (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsWhat is the sum of the first (12) terms of the geometric progression (9,18,36,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf p, q, r and s are all non-zero terms, which of the following conditions proves that p, q, r, s, in this order, are terms of a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIn the geometric progression (11,22,44,\ldots), if (a_n=1408), what is (n)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf aₙ = 3 × 4ⁿ⁻¹, what is the value of a₄ + a₅?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Medium MathematicsIn a geometric progression (a_2=18) and (a_5=486). What is (a_1)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf a = 81 and r = 1/3, what is the sum of the first 5 terms of the geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Medium MathematicsAll terms of a sequence are non-zero, and for every interior term, \(a_n^2=a_{n-1}a_{n+1}\). Which conclusion about the sequence is definitely true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf three non-zero real numbers \(x, y, z\) are in geometric progression in this order, which of the following condition is necessary and sufficient?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsWhat is the sum of the first (10) terms of the geometric progression (4,8,16,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsIf \(a_n=100\left(\frac{1}{2}\right)^{n-1}\), which term will be equal to \(\frac{25}{2}\)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard