If `a_(1),a_(2),a_(3)` are the last three digits of `17^(256)` respectively then the value of `a_(2)-a_(1)-a_(3)` is equal

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_(n) is a geometric sequence with a_(1)=2 and a_(5)=18, then the value of a_(1)+a_(3)+a_(5)+a_(7) is equal to

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))

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_(n) are nth roots of unity then (1)/(1-a_(1))+(1)/(1-a_(2))+(1)/(1-a_(3))..+(1)/(1-a_(n)) is equal to

If A_(1),A_(2) and A_(3) denote the areas of three adjacent faces of a cuboid,then its volume is A_(1)A_(2)A_(3)(b)2A_(1)A_(2)A_(3)sqrt(A_(1)A_(2)A_(3))(d)A_(1)A_(2)A_(3)3