?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=REPRESENTASI+PERKALIAN+PADA+BARISAN+BILANGAN+DAN%0D%0AAPLIKASI+UNTUK+BILANGAN+FIBONACCI+YANG+DIPERUMUM&rft.creator=HILYATUSH+SHOLIHAH%2C+1217031035&rft.subject=510+Matematika&rft.description=Bilangan+Fibonacci%2C+bilangan+Lucas%2C+bilangan+Pell%2C+dan+bilangan+Pell-Lucas%0D%0Aadalah+contoh+paling+menonjol+dari+barisan+rekursif.+Penulis+menyelidiki+sifat%0D%0Aumum+dari+barisan+bilangan+yang+memungkinkan+representasi+eksplisit+dalam%0D%0Asuku-suku+perkalian.+Selanjutnya+diperoleh+bahwa+bilangan+tersebut+membentuk%0D%0Asemua+himpunan+barisan+bilangan+yang+memiliki+identitas+rekursif+serupa.+Dan%0D%0Amenerapkan+identitas+yang+diperoleh+untuk+himpunan+kekuatan+barisan+dan%0D%0Ahimpunan+bilangan+Pochhammer%2C+menemukan+dan+menggeneralisasi+relasi%0D%0Arekursif+yang+diketahui.+Dan+mempelajari+kasus+khusus+himpunan+bilangan%0D%0AFibonacci+yang+diperumum%2C+dan+menyajikan+rekursi+umum+dan+identitas+yang%0D%0Amenghubungkan+barisan+ini.%0D%0AKata+Kunci+%3A+Representasi+perkalian%2C+Bilangan+Fibonacci%2C+Bilangan+Pell%2C%0D%0ABilangan+Pocchammer%2C+identitas+rekursif+%0D%0AIt+is+well+known+that+Fibonacci+numbers%2C+Lucas+numbers%2C+Pell+numbers%2C+and+PellLucas+numbers+are+the+most+prominent+examples+of+recursive+sequences.+The%0D%0Aauthor+investigate+the+general+properties+of+number+sequences+which+allow%0D%0Aexplicit+representation+in+terms+of+products.+And+find+that+such+sequences+form%0D%0Awhole+families+of+number+sequences+sharing+similar+recursive+identities.+Applying%0D%0Athe+proposed+identities+to+power+sequences+and+the+sequence+of+Pochhammer%0D%0Anumbers%2C+and+recover+and+generalize+known+recursive+relations.+And+restricting+to%0D%0Athe+cosine+of+fractional+angles%2C+and+study+the+special+case+of+the+family+of+kgeneralized+Fibonacci+numbers%2C+and+present+general+recursions+and+identities%0D%0Awhich+link+these+sequences.%0D%0AKeywords+%3A+Product+representation%2C+Fibonacci+number%2C+Pell+number%2C+Pochhammer%0D%0Anumber%2C+recursive+identity&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM&rft.date=2019&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F59425%2F1%2FABSTRAK.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F59425%2F2%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F59425%2F3%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=++HILYATUSH+SHOLIHAH%2C+1217031035++(2019)+REPRESENTASI+PERKALIAN+PADA+BARISAN+BILANGAN+DAN+APLIKASI+UNTUK+BILANGAN+FIBONACCI+YANG+DIPERUMUM.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F59425%2F