Find the next three term sequence 2,8,32,128

The pattern is that it multiplies the previous term by 4. So 2 x 4 is 8, 8 x 4 is 32, 32 x 4 is 128 and so on and so forth.

128 x 4 is 512. This is your next term

512 x 4 is 2048. This is the next term after that.

2048 x 4 is 8192. This is your final term.

I think we just figured out how the game 2048 works : P