Which of the following is the proper syntax to loop through every other value of a row vector x?

Question

BlackTom AI · Accepted Answer

To loop through every other value of a row vector x in MATLAB/Octave, you want to index with a start at 1 and advance by 2 each time, until the end of x is reached. 
Option 1: 'for i = 1:2:length(x)' correctly creates the index sequence 1, 3, 5, ... up to the last index not exceeding length(x). This is exactly the pattern for skipping every other element. 
Option 2: 'for i = 1:length(x)/2' is problematic because length(x)/2 is a single scalar value, so MATLAB would interpret the loop as 'for i = 1: some_scalar', which produces a non-integer step count or unexpected behavior; it does not guarantee stepping by 2 across indices. 
Option 3: 'for i = 1:length(x)' iterates through all indices from 1 to length(x), which defeats the purpose of selecting every other value. It would access every element, not every second one. 
Option 4: 'for i = linspace(1,length(x),2)' generates exactly two values evenly spaced between 1 and length(x) (e.g., [1, length(x)] or close rounding), which is not a sequence of indices with a step of 2; it does not produce the required stepwise progression through all appropriate indices. 
Therefore, the correct syntax to loop through every other value of a row vector x is 'for i = 1:2:length(x)'.

ENGR 1181.01 AU2025 (4684) Practice Quiz 3

Which of the following is the proper syntax to loop through every other value of a row vector x?

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