Geometric series that halves but prints first 10 elements i.e. 1/2,1/4....,1/1028

My solution is:

for i=1:10
    GS(i)=1/(2)^2;
    fprintf('GS is: ',GS(i))
end

however it only prints 1/4. How would i fix this??

Answer 1

[Walter Roberson]

As I said in http://uk.mathworks.com/matlabcentral/answers/258510#answer_201903

"For a geometric sequence so always be multiplying the previous value by the multiplier, not the initial value."

Answer 2

[Stephen23]

Much neater than using a loop:

>> 1./pow2(1:10)
ans =
  0.5000    0.2500    0.1250    0.0625    0.0313    0.0156    0.0078    0.0039    0.0020    0.0010

or perhaps

>> fprintf('GS is: %f\n',1./pow2(1:10))
GS is: 0.500000
GS is: 0.250000
GS is: 0.125000
GS is: 0.062500
GS is: 0.031250
GS is: 0.015625
GS is: 0.007813
GS is: 0.003906
GS is: 0.001953
GS is: 0.000977

or perhaps even

>> rat(1./pow2(1:10))
ans =
1 + 1/(-2)  
0 + 1/(4)   
0 + 1/(8)   
0 + 1/(16)  
0 + 1/(32)  
0 + 1/(64)  
0 + 1/(128) 
0 + 1/(256) 
0 + 1/(512) 
0 + 1/(1024)