The sum of the first five terms of a G.P is 363. If the common ratio is 1/3 find the first term.  Select the correct option:
A) 323
B) 243
C) 232
D) 332
E) 432
Sum of the first n terms of a G.P = a (1 -rn )/1 - r ,   a [ 1 - (1/3) 5 ]/ (1 - 1/3) = 363   a = 363 [ 1-1/3 ] /1- (1/3) 5 = ( 363* 2/3) / ( 1- 1/242 ) = 242/ ( 242/243 )= 
<gadget id="calculator">242/ ( 242/243 )</gadget>
<output>243</output>
243   ANSWER:243
<result>B</result>
The sum of the first five terms of a G.P is 363. If the common ratio is 1/3 find the first term.