seguir
follow
segue
to transition smoothly
+
-ir
verb suffix
Seguir means to follow and can be thought of as segue0 (to transition smoothly0) + -ir1 (verb suffix1), as following is like transitioning smoothly from one place to another.
verb
  1. follow
    To continue or keep doing something
    Voy a seguir estudiando español. // I'm going to continue studying Spanish.
  2. follow
    To follow or go after someone or something
    El gato sigue al ratón. // The cat follows the mouse.