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

If A1,A2,A3,.......A51 are arithmetic means inserted between the numbers a and b, then find the value of ((b+A51)/(b-A51))-((A1+a)/(A1-a))

If a_1, a_2, a_3,...a_20 are A.M's inserted between 13 and 67 then the maximum value of the product a_1 a_2 a_3...a_20 is

If a_1+a_2+a_3+......+a_n=1 AA a_1 > 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 6 Arithmetic means A_1, A_2, A_3, A_4, A_5, A_6 are inserted between two consecutive natural number a and b (a > b). If A_1^2 - A_2^2 + A_3^2 - A_4^2 + A_5^2 - A_6^2 is equal to prime number then 'b' is equal to

If a_1, a_2, a_3,...a_n are in A.P with common difference d !=0 then the value of sind(coseca_1 coseca_2 +cosec a_2 cosec a_3+...+cosec a_(n-1) cosec a_n) will be