If `f(x)=(a^x)/(a^x+sqrt(a ,)),(a >0),` then find the value of `sum_(r=1)^(2n1)2f(r/(2n))`

If f(x)=(a^x)/(a^x+sqrt(a ,)),(a >0), then find the value of sum_(r=1)^(2n-1)2f(r/(2n))

If f(x)=(a^x)/(a^x+sqrt(a ,)),(a >0), then find the value of g(n)= sum_(r=1)^(2n-1)2f(r/(2n)) g(4)

If f(x)=(a^(x))/(a^(x)+sqrt(a))(agt0),g(n)=sum_(r=1)^(2n-1)2f((r)/(2n)) . Find te value g(4)

If f(x)=(a^(x))/(a^(x)+sqrt(a))(agt0),g(n)=sum_(r=1)^(2n-1)2f((r)/(2n)) . Find te value g(4)

If f(x)=(a^(x))/(a^(x)+sqrt(a))(agt0),g(n)=sum_(r=1)^(2n-1)2f((r)/(2n)) . Find te value g(4)

Let F(x)= F(x)=int_0^xtf(t)dt] and F(x^2)=x^4+x^5 then find the value of sum_(r=1)^12f(r^2)

If n in N such that is not a multiple of 3 and (1+x+x^(2))^(n) = sum_(r=0)^(2n) a_(r ). X^(r ) , then find the value of sum_(r=0)^(n) (-1)^(r ).a_(r).""^(n)C_(r ) .

If n in N such that is not a multiple of 3 and (1+x+x^(2))^(n) = sum_(r=0)^(2n) a_(r ). X^(r ) , then find the value of sum_(r=0)^(n) (-1)^(r ).a_(r).""^(n)C_(r ) .

If f(x) is a function such that f(x-1)+f(x+1)=sqrt(3)f(x) and f(5)=10 then the sum of digit of the value of sum_(r=0)^(19)f(15+12r) is