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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 ProgressionLevel 55Expert MathematicsWhat is the sum of the first (10) terms of the geometric progression (12,24,48,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf (a_1=10) and (a_4=270), and (r) is positive, what is (a_5)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIn the geometric progression (15,30,60,\ldots), if (a_n=3840), what is (n)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf aₙ = 6 × 5ⁿ⁻¹, what is the value of a₄ + a₅?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIn a geometric progression, (a_2=20) and (a_5=2500). What is (a_1)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf \(a=96\) and \(r=\frac{1}{2}\), what is the sum of the first \(6\) terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert 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 ProgressionLevel 55Expert MathematicsIn a geometric progression with non-zero terms, which of the following relations is always true for three consecutive terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is the sum of the first (9) terms of the geometric progression (10,20,40,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf \(a_n=405\left(\frac{1}{3}\right)^{n-1}\), which term will be equal to (5)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is the value of a₅ + a₆ for the geometric progression 3, 12, 48, …?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIf a = 8, r = 4, and S₄ = 680, which statement is correct?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIn the geometric progression (486,162,54,\ldots), which term is (2)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf (a_4=162) and (r=3), what is the value of (a_9)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhat is the sum of the first (4) terms of the geometric progression (5,30,180,1080,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf (a_1=9) and (r=-2), what is (a_8)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsWhich term of the geometric progression (2,8,32,\ldots) is (8192)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsIf the first (4) terms of a geometric progression are (7,21,63,189), what is (S_4)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert MathematicsHow many terms are there up to (4096) in the geometric progression (4,16,64,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Expert