Three would be your answer :)
The sequence is geometric, so

for some constant r. From this rule, it follows that

and we can determine the first term to be

Now, by substitution we have

and so on down to (D)

(notice how the exponent on r and the subscript on a add up to n)
Ok, here is what I got:
<span>9/20 is .45 so D is right for sure. C is also correct since the remaining % is 55 ( meaning the percent you won't win) this is also the same as A which is 11/20 or .55. again meaning that .55 is the probability that you won't win. I hope this helps!</span>
Let +n+ = number of bottles of cranberry juice needed
+2n+ = number of bottles of ginger ale needed
---------------------------
+3.2n+%2B+.9%2A%28+2n+%29+=+20+
+3.2n+%2B+1.8n+=+20+
+32n+%2B+18n+=+200+
+50n+=+200+
+n+=+4+
and
+2n+=+8+
----------------
The most bottles of cranberry juice is 4
Answer:
Im pretty sure the answer is 410 2/3
I hope this helped to answer your question.
Have a great day! :)