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Grade: 12th pass
        
Find a relation b/w x and y in order that rth mean between x and 2y is the same as the rth mean b/w 2x and Y, when n means are inserted in each case .
one month ago

Answers : (1)

Arun
22299 Points
							
rth arithmetic mean b/w x and 2y : x + r*((2y-x)/(n+1))
rth arithmetic mean b/w 2x and y: 2x + r*((y-2x)/(n+1))
since both are equal
x + r*((2y-x)/(n+1)) =2x + r*((y-2x)/(n+1))
=> r * (((2y-x)-(y-2x))/(n+1)) = x
=> r*(x+y)/(n+1) = x
one month ago
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