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Arithmetic sequence follows the order a,a+d,a+2d,a+3d….
First term is a , a= 3
Second term a+d= 7 . substitute a here to find d
3+d=7, d=4
Third term a+2d=11
Fourth term a+3d=15
We need to fifth,sixth and seventh term
Fifth term a+4d= 3+4*4 = 19
Sixth term a+5d = 3+5*4= 23
Seventh term a+6d=3+6*4= 27
The next three terms are 19,23,27