The question states:

what would be sum of

$\displaystyle 1+1/3^2 +(1*4)/((1*2)*3^4) +(1*4*7)/((1*2*3)*3^6) +......$

and since the question is multiple choice type:

a)$\displaystyle (3/2)^(1/2)$ 3/2 power 1/2

b)$\displaystyle (3/2)^(1/3)$ 3/2 power 1/3

c)$\displaystyle (1/3)^(1/2)$ 1/3 power 1/2

d)$\displaystyle 1/2^(1/2)$ 1/ root 2

My head is boggled....question came in test...took a lot of my time even at home, plz help.