question_answer

If the sum of m, 2m, 3m terms of an A.P. are \[{{\mathbf{S}}_{\mathbf{1}}},{{\mathbf{S}}_{\mathbf{2}}},{{\mathbf{S}}_{\mathbf{3}}}\] respectively, then (\[{{\mathbf{S}}_{\mathbf{2}}}-{{\mathbf{S}}_{\mathbf{1}}}\]) equals to __

A) 2\[{{S}_{3}}\]          

B)                                                        3\[{{S}_{3}}\]      

C)   \[\frac{{{s}_{3}}}{2}\]          

D)                                \[\frac{{{s}_{3}}}{3}\]

E) None of these