Let an be the nth term of a G.P. of positive terms. $\sum\limits_{n = 1}^{100} {{a_{2n + 1}} = 200} $ and $\sum\limits_{n = 1}^{100} {{a_{2n}} = 100} $, then $\sum\limits_{n = 1}^{200} {{a_n}} $ is equal to :

Question

Let a_n be the n^th term of a G.P. of positive terms.

$\sum\limits_{n = 1}^{100} {{a_{2n + 1}} = 200} $ and $\sum\limits_{n = 1}^{100} {{a_{2n}} = 100} $,

then $\sum\limits_{n = 1}^{200} {{a_n}} $ is equal to :