In addition to catching a Bulbasaur, Charmander, or Squirtle, it is also possible to obtain a Pikachu as your starter Pokemon.
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Step 1 :
When first spawned, there will be a Bulbasaur, Squirtle, and Charmander within catching distance. Walk away far enough so that they are no longer within visible distance. Once out of visible distance, they will respawn again.
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Step 2 :
Repeat until the three starters respawn 4-5 times. Around the 4-5 time, there'll be a ripple that signifies a Pokemon's presence but with no Pokemon above it, tap it a few times and a Pikachu will appear.
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Step 3 :
Catch Pikachu
Catch Pikachu