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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 sum of the first (8) terms of the geometric progression (20,40,80,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf (a_1=8) and (a_4=216), and (r) is positive, what is (a_5)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIn the geometric progression (18,36,72,\ldots), if (a_n=2304), what is (n)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf aₙ = 4 × 5ⁿ⁻¹, what is the value of a₄ + a₅?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIn a geometric progression, (a_2=24) and (a_5=648). What is (a_1)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf (a=128) and (r=\frac{1}{2}), what is the sum of the first (5) terms?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf three non-zero numbers \(a, b, c\) are consecutive terms of a geometric progression in this order, which relation must be true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsFor three consecutive non-zero terms \(a, b, c\) of a geometric progression, which of the following relations is always true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is the sum of the first (9) terms of the geometric progression (7,14,28,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf \(a_n=162\left(\frac{1}{3}\right)^{n-1}\), which term will be equal to (2)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is the value of a₅ + a₆ for the geometric progression (4, 16, 64, ...)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf (a=10), (r=3), and (S_5=1210), what is the statement?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIn the geometric progression (810,270,90,\ldots), which term is (10)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf (a_4=96) and (r=2), what is the value of (a_{10})?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhat is the sum of the first (4) terms of the geometric progression (3,18,108,648,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf (a_1=6) and (r=-2), what is (a_7)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsWhich term of the geometric progression (9,36,144,\ldots) is (9216)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf the first (4) terms of a geometric progression are (5,25,125,625), what is (S_4)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsHow many terms are there up to (12288) in the geometric progression (3,12,48,\ldots)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard MathematicsIf the fifth term of the geometric progression (x,,4x,,16x,\ldots) is (1280), what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 56Hard