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Original: 4 10 19 31

Increment: +6 +9 +12

Increment: +3(2) +3(3) +3(4)

pattern would be 

figure 1: 1+3(1)

figure 2: 1+3(1)+3(2)

figure 3: 1+3(1)+3(2)+3(3)

figure 4: 1+3(1)+3(2)+3(3)+3(4)

figure n :1+3(1)+3(2)+…+3(n)
= 1+3(n(n+1)/2)

 

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