`sum_(k=1)^360 1/(ksqrt(k+1)+(k+1)sqrt(k))` is the ratio of two relatively prime positive integers m and n then the value of m+n is equal to

sum_(k=1)^(360)((1)/(ksqrt(k+1)+(k+1)sqrt(k))) is the ratio of two relative prime positive integers m and n. The value of (m+n) is equal to

Given that sum_(k=1)^35 sin5k^@ = tan(m/n)^@ , where m and n are relatively prime positive integers that satisfy (m/n)^@<90^@ , then m + n is equal to

The value of sum_(k=0)^(oo)(k^(2))/(4^(k)) can be written as (m)/(n) where m and n are relatively prime positive integers.Then the value of (m+n) is

sum_(k =1)^(n) k(1 + 1/n)^(k -1) =

Given that sum_(k=1)^(35)sin5k^(@)=tan((m)/(n))^(@), where m and n are relatively prime positive integers that satisfy ((m)/(n))^(@)<90^(@), then m+n is equal to

For any integer n ge 1 , then sum_(k=1)^(n) k ( k+2) is equal to

Given that sum_(k=1)^(35)sin5k=tan(m/n) , where angles are measured in degrees,and m and n are relatively prime positive integers that satisfy (m)/(n)<90 , then value of [(m+n-2)/(25)] is