How do I get the sequence for the next 3 numbers 2,4,8,14, ... ?

22, 32, 44

Step-by-step explanation:

x₍₁₎ = 2

x₍ₙ₎ = x₍ₙ₋₁₎ + 2 x (n-1)

x₍₂₎ = 2 + 2 x 1 = 4

x₍₃₎ = 4 + 2 x 2 = 8

x₍₄₎ = 8 + 2 x 3 = 14

x₍₅₎ = 14 + 2 x 4 = 22

x₍₆₎ = 22 + 2 x 5 = 32

x₍₇₎ = 32 + 2 x 6 = 44