<prompt> Hlalosa kutloisiso ea hau ea tatellano ea Fibonacci.nan  <response>: Instruction in English: Explain your understanding of the Fibonacci sequence. . Response in English: The Fibonacci sequence is a series of numbers that is characterized by the fact that every number, after the first two, is the sum of the two preceding numbers.The sequence starts with 0 and 1, and then each subsequent number is calculated by adding the previous two numbers together. For instance, the third number in the sequence is 0 1 1, the fourth number is 1 1 2, the fifth number is 1 2 3, the sixth number is 2 3 5, and so on.Mathematically, the sequence is defined by the recurrence relation: Fn Fn-1 Fn-2where F0 0 and F1 1.The Fibonacci sequence has many interesting properties and appears in many different areas of mathematics, science and nature. For example, the ratio between consecutive Fibonacci numbers tends towards the golden ratio, which is approximately 1.61803. This ratio appears frequently in geometry, art, and architecture. Additionally, the Fibonacci sequence shows up in the patterns of some plants and the arrangement of branches on some trees. . Response in Sesotho: Tatelano ea Fibonacci ke letoto la linomoro tse khetholloang ke taba ea hore palo e ngoe le e ngoe, ka mora tse peli tsa pele, ke kakaretso ea linomoro tse peli tse fetileng. Tatelano e qala ka 0 le 1, ebe palo ka ngoe e latelang e baloa ka ho kopanya linomoro tse peli tse fetileng hammoho. Mohlala, nomoro ea boraro ka tatellano ke 0 1 1, ea bone ke 1 1 2, ea bohlano ke 1 2 3, ea botšelela ke 2 3 5, joalo-joalo. Ka lipalo, tatellano e hlalosoa ke kamano ea ho pheta-pheta: F n F n-1 F n-2 moo F 0 0 le F 1 1. Tatelano ea Fibonacci e na le tse ngata tse thahasellisang. thepa mme e hlaha libakeng tse ngata tse fapaneng tsa lipalo, saense le tlhaho. Mohlala, karo-karolelano lipakeng tsa linomoro tsa Fibonacci tse latellanang e lebisa ho tekanyo ea khauta, e ka bang 1.61803. Karolelano ena e hlaha hangata ho jeometry, bonono le boqapi. Ho feta moo, tatellano ea Fibonacci e bonahala mekhoeng ea limela tse ling le tlhophiso ea makala lifateng tse ling. 