The sum of the series `cot^(-1)((9)/(2))+cot^(-1)((33)/(4))+cot^(-1)((129)/(8))+…….oo` is equal to :

The sum of the infinite series cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+cot^(-1)((39)/(4))....oo

The sum of the infinite series cot^(-1)(7/4)+cot^(-1)((19)/4) +cot^(-1)((39)/4)....oo

The sum of cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+cot^(-1)((39)/(4))+cot^(-1)((67)/(4))..... oo is equal to :

The sum of the series cot^(-1)2+cot^(-1)8+cot^(-1)18+cot^(-1)32.........

Sum of infinite terms of the series cot^(-1)(1^(2)+3/4)+cot^(-1)(2^(2)+3/4)+cot^(-1)(3^(2)+3/4)+….. is

The sum of infinite terms of the series cot^(-1)(2^(2)+1/2)+cot^(-1)(2^(3)+1/2^(2))+cot^(-1)(2^(4)+1/2^(3))+…=cot^(-1)k then k =

If the sum of first 16 terms of the series s=cot^(-1)(2^(2)+(1)/(2))+cot^(-1)(2^(3)+(1)/(2^(2)))+cot^(-1)(2^(4)+(1)/(2^(3)))+ up to terms is cot^(-1)((1+2^(n))/(2(2^(16)-1))), then find the value of n.