CONTINUED FRACTIONS OFRATIOS OF POLYGONAL NUMBERS WITH CONSECUTIVE ORDERS AND RANKS
In number theory, study of number sequences is an exciting field. Among these the sequenceof figurate numbers provide a separate abundance in its suitability.Figurate number which have both order and rank of differentdimensions. Here, the study is only on two dimensional approach of figurate numbers.The ratios of polygonal numbers are studied as continued fractions. In this studysequence of continued fraction which produce ratios of figurate number of consecutive orders and ranks are classified.