Sequences and Series
If a, b, c are in AP, show that (b+c−a),(c+a−b),(a+b−c) are in AP.
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Multiplied by 3 and then divided by 2.
If 32,k,85k are in A.P. then k=
Let f(x)=x2+x+x2+xtan2α,αϵ(0,2π). The value of f(x) is always greater than or equal to
The minimum value of 4ex+9e−X is
The minimum value of a2sec2θ+b2cosec2θ is
Insert x arithmetic means between x2 and 1.
In any ΔABC, Π(sinAsin2A+sinA+1) is always greater than
Prove that the product of n geometric mean between any two numbers is nth power of their G.M.