Sequences and Series
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Between two numbers whose sum is 12, an even number of A.M.s is inserted, the sum of these means exceeds their number by 20. Find the number of means.
If the mean of x,x+2,x+4,x+8 is 20 find x.
If the distinct points on the curve y=2x4+7x3+3x−5 are collinear, then find the arithmatic mean of x-coordinates of the aforesaid points
If sinx+cosx=y+y1,xϵ[0,π] and y>0, then-
Find the GM between the numbers a3b and ab3.
If a, b, c are the lengths of sides of a triangle, then the minimum value of ba+cb+ac
Write the quadratic equation, the arithmetic and geometric means of whose roots are A and G respectively.