Consider a function $$f(k)$$ defined for positive integers $$k = 1,2, ..$$ ; the function satisfies the condition $$f(1) + f(2) + .. = \frac{p}{p-1}$$. Where $$p$$ is fraction i.e. $$0 < p < 1$$. Then $$f(k)$$ is given by

A

$$(-p) (p)^{(k-1)}$$

B

$$p(1-p)^{k-1}$$

C

$$({p(1-p)})^{k-1}$$

D

None of these