" If `A_(1),A_(2),A_(3),...,A_(6)` are 'n' numbers inserted between "a,b" to form AP.Then `A_(1)+A_(2)+...+A_(n)`=

If n arithmetic means A_(1),A_(2),---,A_(n) are inserted between a and b then A_(2)=

If A_(1), A_(2), A_(3),....A_(51) are arithmetic means inserted between the number a and b, then find the value of ((b + A_(51))/(b - A_(51))) - ((A_(1) + a)/(A_(1) - a))

If a_(1),a_(2),a_(3),......,a_(20) are A.M's inserted between 13 and 67 , then the maximum value of product a_(1)a_(2)a_(3)......a_(20) is

If a_(1), a_(2), a_(3),..., a_(20) are A.M's inserted between 13 and 67 , then the maximum value of product a_(1) a_(2) a_(3)... a_(20) is

If a_(1),a_(2),a_(3), . . .,a_(n) are non-zero real numbers such that (a_(1)^(2)+a_(2)^(2)+ . .. +a_(n-1).^(2))(a_(2)^(2)+a_(3)^(2)+ . . .+a_(n)^(2))le(a_(1)a_(2)+a_(2)a_(3)+ . . . +a_(n-1)a_(n))^(2)" then", a_(1),a_(2), . . . .a_(n) are in

A_(1), A_(2), A_(3), ……, A_(n) " and " B_(1), B_(2), B_(3), …., B_(n) are non-singular square matrices of order n such that A_(1)B_(1) = I_(n), A_(2)B_(2) = I_(n), A_(3)B_(3) = I_(n),……A_(n)B_(n) = I_(n) " then"(A_(1) A_(2)A_(3)….. A_(n))^(-1) = ______.

If a_(1),a_(2),...,a_(n) be an A.P. of positive terms, then

if a,A_(1),A_(2),A_(3)......,A_(2n),b are in A.P.then sum_(i=1)^(2n)A_(i)=(a+b)

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