Asked by Nan
For the following sequence, determine the indicated geometric means;
180,_,_,_,_,-5.625,...
I could hardly even calculate this! Anyone have a better idea?
180,_,_,_,_,-5.625,...
I could hardly even calculate this! Anyone have a better idea?
Answers
Answered by
bobpursley
180x(r^5)=-5.625
r^5= -0.03125
r=-1/2
so the sequence is
180,-90,45,-22.5,11.25,-5.625
Now, the geometric mean is all those multiplied together, then the sixth root of that: Note this is impossible to take the sixth root of negative number and get a real number. Technically, that sequence has no geometric mean.
r^5= -0.03125
r=-1/2
so the sequence is
180,-90,45,-22.5,11.25,-5.625
Now, the geometric mean is all those multiplied together, then the sixth root of that: Note this is impossible to take the sixth root of negative number and get a real number. Technically, that sequence has no geometric mean.
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