SOLUTION: Help please... Find the ninth term of this sequence: 81/8, 27/4, 9/2, 3,...

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Question 411755: Help please...
Find the ninth term of this sequence: 81/8, 27/4, 9/2, 3,...
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
81/8, 27/4, 9/2, 3,...

see the pattern
%2881%2F3%29%2F%288%2F3%29=27%2F4
%2827%2F3%29%2F%284%2F2%29=9%2F2
%289%2F3%29%2F%282%2F2%29=3

you can write 3 as 3%2F1, and to get next term divide %283%2F1%29 by %283%2F2%29

%283%2F3%29%2F%281%2F2%29=2...

%282%2F1%29%2F%283%2F2%29=%284%2F3%29

%284%2F3%29%2F%283%2F2%29=%288%2F9%29

%288%2F9%29%2F%283%2F2%29=+16%2F27
+%2816%2F27%29%2F%283%2F2%29=2%2A16%2F%283%2A27%29=32%2F81
%2832%2F81%29%2F%283%2F2%29=64%2F243

81/8, 27/4, 9/2, 3,2,4/3,8/9,16/27,32/81,64/243

the ninth term of this sequence is 64%2F243