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General Rule

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

MathematicsWhich general rule generates a sequence in which each term is the square of its position number?Class 9Sequences and ProgressionsExplicit or general ruleLevel 51Easy MathematicsIn a square root spiral, the new hypotenuse is \(\sqrt{n+1}\). If the previous hypotenuse was \(\sqrt{1368}\), what will the new hypotenuse be?Class 9Number SystemsSquare root spiralLevel 21Hard MathematicsWhich condition is necessary for (\sqrt{n}) to become (\sqrt{n+1}) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsWhy does adding a (1) unit perpendicular to hypotenuse (\sqrt{n}) in a square root spiral give new hypotenuse (\sqrt{n+1})?Class 9Number SystemsSquare root spiralLevel 19Hard MathematicsIf the new hypotenuse (\sqrt{35}) is formed in a square root spiral, which hypotenuse should come just before it?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsWhy are both a (1) unit perpendicular and a right angle necessary in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsIf the new hypotenuse formed in a square root spiral is (\sqrt{82}), what was the length of the previous hypotenuse?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsIf √(n+1) is formed after √n in a square root spiral, what is the main mathematical reason?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsIf the new hypotenuse at a step in a square root spiral is (\sqrt{31}), which was the immediately previous hypotenuse?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsIf a 1-unit perpendicular is added to the hypotenuse √n, what will the new hypotenuse generally be?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhy does (\sqrt{n}) become (\sqrt{n+1}) after adding a (1) unit perpendicular in a square root spiral?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIf the hypotenuse at a step is (\sqrt{n}), by which formula will the next hypotenuse be obtained?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIn a square-root spiral, if the new hypotenuse is √(n+1), what was the previous hypotenuse?Class 9Number SystemsSquare root spiralLevel 22Easy MathematicsIf the previous hypotenuse at a step in a square root spiral is (\sqrt{n}), what is the new hypotenuse after adding a (1) unit perpendicular?Class 9Number SystemsSquare root spiralLevel 22Easy