Write MATLAB code to create and print a vector GS that stores the first 10 terms of the geometric sequence that halves each time: {1/2, 1/4, 1/8, 1/16, ... 1/1024 }

this is what i have done but it is wrong

Initial=input('Enter initial value: ')
for i =1:10
    y(i)=(Initial)*(0.5)
end

Answer 1

[Walter Roberson]

The problem requires that you name the variable GS. Also the question does not ask you to prompt for an initial value.

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

Answer 2

[Stephen23]

>> 1./pow2(1:10)
ans = 0.5  0.25  0.125  0.0625  0.03125  0.015625  0.0078125  0.0039062  0.0019531  0.00097656

Answer 3

[Thorsten]

Initial=input('Enter initial value: ')
y(1) = Initial*0.5;
for i = 2:10
   y(i)= y(i-1)*0.5
end

or following Stephens suggestion, without a loop

y = Initial./pow2(1:10);

or

y = Initial./cumprod([repmat(2, 1, 10)])

or

y = Initial./2.^(1:10);