Step 1: Recall that frequency and wavelength are inversely related.
For any electromagnetic wave: $c = f\lambda$, so higher frequency means shorter wavelength. Remembering the spectrum in order of wavelength (long to short) is equivalent to remembering it in order of frequency (low to high).
Step 2: List the EM spectrum in order of increasing frequency.
From lowest to highest frequency (longest to shortest wavelength):
Radio waves, Microwaves, Infrared, Visible light, Ultraviolet, X-rays, Gamma rays.
Step 3: Check option 1 (Infrared, X-rays, Gamma rays).
This sequence goes from lower to higher frequency: Infrared is below visible, X-rays are above UV, Gamma rays are the highest. This is a valid increasing order.
Step 4: Check option 2 (Gamma rays, Visible light, X-rays).
Gamma rays have higher frequency than X-rays, but X-rays also have higher frequency than visible light. The order Gamma, visible, X-rays is decreasing then jumping - not consistently increasing.
Step 5: Check options 3 and 4 (involving visible, infrared, ultraviolet).
Infrared has lower frequency than visible light; ultraviolet has higher frequency than visible light. So the order visible, infrared, ultraviolet is not increasing frequency. Similarly for option 4.
Step 6: State the answer.
\[
\boxed{\text{Infrared, X-rays, Gamma rays}}
\]