Find the sum of the series `^15 C_0+^(15)C_1+^(15)C_2++^(15)C_7dot`

find the sum of 15 terms of The sum of the series (1)/(3)+(1)/(15)+(1)/(35)+(1)/(63)+..........oo terms,is

Value of -^(15)C_(1) + 2..^(15)C_(2)- 3.^(15)C_(3) + ...... - 15.^(15)C_(15)+ ^(15)C_(1)+ ^(15)C_(2)+ ....^(15)C_(14) is

The value of 15C_(0)^(2)-15C_(1)^(2)+^(15)C_(2)^(2)...-^(15)C_(15)^(2) is 15b-15c.0d.51

Let C_r = ""^(15)C_(r), 0ler <=15 . Sum of the series S=sum_(r=1)^(15)r(C_(r))/(C_(r-1)) is