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Consecutive Terms

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsLet \(S_n=1+2+3+\cdots+n\). Which expression represents the sum of the last 8 consecutive natural numbers ending at \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Expert MathematicsWhat sum is obtained by adding \((29+30+31)\) to \((1+2+\cdots+28)\)?Class 9Sequences and ProgressionsSum of first n natural numbersLevel 60Easy MathematicsIf \(x, y, z\) are three consecutive terms of a geometric progression and \(x\neq0\) and \(y\neq0\), which is the necessary and sufficient condition for them?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 MathematicsFor which (x) will (x,24,96) be consecutive terms of a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsIf \(p, q, r\) are three consecutive non-zero terms of a geometric progression, which of the following relations must be true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert MathematicsIf (6,x,150) are consecutive terms of a positive geometric progression, what is the value of (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Expert 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 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 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 MathematicsIf \(x, y, z\) are three consecutive terms of a geometric progression, which of the following relations is always true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsIf three non-zero numbers \(x, y, z\), in this order, are consecutive terms of a geometric progression, which relation must hold?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Hard MathematicsFor which (x) will (x,12,48) be consecutive terms of a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 53Expert MathematicsIf three non-zero numbers \(a, b, c\), in this order, are consecutive terms of a geometric progression, which of the following condition is necessary and sufficient?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 MathematicsLet \(x, y, z\) be three consecutive non-zero terms of a geometric progression. Which of the following relation is always true?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsFor which (x) will (12,x,75) be consecutive terms of a positive geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsFor which (x) will (16,x,81) be consecutive terms of a positive geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium MathematicsIf (x,20,100) are consecutive terms of a geometric progression, what is (x)?Class 9Sequences and ProgressionsGeometric ProgressionLevel 55Medium