If `A_1,A_2,A_3, A_4 and A_5` are the five A.M.'s between 2 nd 8, then find the value of `A_1+A_2+A_3+A_4+A_5`

If A_1 and A_2 are two AMs between a and b then (2A_1 -A_2) (2A_2 - A_1) =

If a_1+a_2+a_3+......+a_n=1 AA a_i > 0, i=1,2,3,......,n , then find the maximum value of a_1 a_2 a_3 a_4 a_5......a_n .

Let A_1 , A_2 …..,A_3 be n arithmetic means between a and b. Then the common difference of the AP is

A_0, A_1 ,A_2, A_3, A_4, A_5 be a regular hexagon inscribed in a circle of unit radius ,then the product of (A_0A_1*A_0A_2*A_0A_4 is equal to

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+.......a_(n-1)+2a_n is

Figure shows two parallel wires separated by a distance of 4.0 cm and carrying equal currents of 10A along opposite directions. Find the magnitude of the magnetic field B at the points A_1, A_2, A_3 and A_4.

If a_1,a_2, a_3, a_4 be the coefficient of four consecutive terms in the expansion of (1+x)^n , then prove that: (a_1)/(a_1+a_2)+(a_3)/(a_3+a_4)=(2a_2)/(a_2+a_3)dot

If a_1,a_2, a_3, a_4 be the coefficient of four consecutive terms in the expansion of (1+x)^n , then prove that: (a_1)/(a_1+a_2)+(a_3)/(a_3+a_4)=(2a_2)/(a_2+a_3)dot

Five different objects A_1,A_2,A_3,A_4,A_5 are distributed randomly in 5 places marked 1, 2, 3, 4, 5. One arrangement is picked at random. The probability that in the selected arrangement, none of the object occupies the place corresponding to its number, is