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In number theory, study of number sequences is an enthusiastic area. Among these the sequence of polygonal numbers gives a unique richness in is applicability. Polygonal numbers which have both order, rank of are of various dimensions. Here, the study is only on two dimensional figurate numbers. Here the ratios of polygonal numbers are studied as continued fractions. In this paper different types of properties and characteristics of sequence of continued fraction which represent ratios ofdoi:10.1088/1742-6596/1362/1/012084 fatcat:dtouez7otvdgzntxicehpcmb7a