A reasonable number of problems with solutions on integer triples in A.P has been illustrated to enable the researchers to deepen their understanding of this subject and we hope that the creative readers may be motivated by the desire to achieve this goal.The readers of this book may realize that there are patterns everywhere in nature and the true pleasure lies in the search for new number patterns and remember the quotation " Change the way you look at things and the things you look at change" by Wagne W. Dyer. The greatest pleasure in life is doing what others say you cannot do.