If a,b,c, are in A.P then prove that `(1)/(sqrt(b)+sqrt(c)),(1)/(sqrt(c)+sqrt(a)),(1)/(sqrt(a)+sqrt(b))` are in A.P.

If a_(1), a_(2), a_(3), a_(4) are in AP, then (1)/(sqrt(a_(1)) + sqrt(a_(2))) + (1)/(sqrt(a_(2)) + sqrt(a_(3))) + (1)/(sqrt(a_(3)) + sqrt(a_(4))) is equal to

The sum of the first n terms of the series (1)/(sqrt(2)+sqrt(5))+(1)/(sqrt(5)+sqrt(8))+(1)/(sqrt(8)+sqrt(11))+ .... is

If (b-c)^(2) , (c-a)^(2), (a-b)^(2) are in A.P. then prove that (1)/(b-c) , (1)/(c-a), (1)/(a-b) are also in A.P.

If a, b, c are in A.P, prove that 1/(bc),1/(ca),1/(ab) are also in A.P.

The value of (1)/(sqrt(10) - sqrt(9)) - (1)/(sqrt(11)-sqrt(10)) + (1)/(sqrt(12) - sqrt(11))………. - (1)/(sqrt(121) - sqrt(120)) is equal to

integrate the functions 1/(sqrt(x+a)+sqrt(x+b))

If a,b,c in R^(+) form an A.P then prove that a+1 /(bc) , b+1 /(ac) , c+1 /(ab) are also in A.P

Suppose that a, b, c are in A.P. Prove that 2b = a + c

The value of "sin"(31)/(3)pi is a) (sqrt3)/(2) b) (1)/(sqrt2) c) (-sqrt3)/(2) d) (-1)/(sqrt2)

The minimum values of sin x + cos x is a) sqrt2 b) -sqrt2 c) (1)/(sqrt2) d) - (1)/(sqrt2)