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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।

MathematicsIf (a_8=1280) and (a=10), and (r) is positive, what is (r)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsWhat is the sum of the first (10) terms of the geometric progression (12,24,48,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsIf (a_1=10) and (a_4=270), and (r) is positive, what is (a_5)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsIn the geometric progression (15,30,60,\ldots), if (a_n=3840), what is (n)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsIf aₙ = 6 × 5ⁿ⁻¹, what is the value of a₄ + a₅?Class 9Sequences and ProgressionsGeometric ProgressionMedium MathematicsIn a geometric progression, (a_2=20) and (a_5=2500). What is (a_1)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsIf \(a=96\) and \(r=\frac{1}{2}\), what is the sum of the first \(6\) terms?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsIf all terms of a geometric progression are positive and its common ratio is less than 1, which statement about its terms is correct?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsIn a geometric progression with non-zero terms, which of the following relations is always true for three consecutive terms?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsWhat is the sum of the first (9) terms of the geometric progression (10,20,40,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsIf \(a_n=405\left(\frac{1}{3}\right)^{n-1}\), which term will be equal to (5)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsWhat is the value of a₅ + a₆ for the geometric progression 3, 12, 48, …?Class 9Sequences and ProgressionsGeometric ProgressionMedium MathematicsIf a = 8, r = 4, and S₄ = 680, which statement is correct?Class 9Sequences and ProgressionsGeometric ProgressionMedium MathematicsIn the geometric progression (486,162,54,\ldots), which term is (2)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsIf (a_4=162) and (r=3), what is the value of (a_9)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsWhat is the sum of the first (4) terms of the geometric progression (5,30,180,1080,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsIf (a_1=9) and (r=-2), what is (a_8)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsWhich term of the geometric progression (2,8,32,\ldots) is (8192)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsIf the first (4) terms of a geometric progression are (7,21,63,189), what is (S_4)?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsHow many terms are there up to (4096) in the geometric progression (4,16,64,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionExpert