A certain club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly L new members into the club. If y is the number of new members brought into the club during the twelfth week, which of the following could be y?	Choose the correct answer:
A) 5^1/12	B) 3^11 * 5^11	C) 3^12 * 5^12	D) 3^11 * 5^12	E) 60^12
At the end of the first week, there are 5 new members;   At the end of the second week, there are 5L new members (since each 5 new members from the previous week brings L new members);   At the end of the third week, there are 5L^2 new members (since each 5L new members from the previous week brings L new members);   ...   At the end of the twelfth week, there are 5L^11 new members (since each 5L^10 new members from the previous week brings L new members).   We are given that 5L^11=y. Out of the answers only D yields integer value for L: 5L^11=3^11 * 5^12 --&gt; L=3*5= 
<gadget id="calculator">3*5</gadget>
<output>15</output>
15.   Answer: 3^11 * 5^12.
<result>D</result>
A certain club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly L new members into the club. If y is the number of new members brought into the club during the twelfth week, which of the following could be y?