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İlk bölümde Pascal üçgeninin yapısı, sıfırıncı satırın bir ile başlaması, her satırın bir ile devam etmesi ve alt küme sayıları ile ilişkisi anlatılmaktadır. İkinci bölümde ise iki'nin sıfırlısı, bir lisesi, ikilisi ve üçlüsü gibi kavramlar ve beş'in üstüne eşit olan ifadeyi bulma konusu işlenmektedir.","Videoda Pascal özdeşliği (n'in r'li kombinasyonu ile n'in r+1'li kombinasyonunun toplamı) detaylı olarak açıklanmakta ve örneklerle gösterilmektedir. Ayrıca, bu konunun bir sonraki konu olan binom katsayıları için temel olduğu belirtilmektedir."]},"endTime":793,"title":"Matematik Dersi: Pascal Üçgeni ve Sayılar","beginTime":0}],"fullResult":[{"index":0,"title":"Pascal Üçgeni ve Özellikleri","list":{"type":"unordered","items":["Pascal üçgeni (hayyam üçgeni olarak da bilinir) bir ile başlayıp bir üçgen şeklinde bir-bir şeklinde devam eden ve bir ile sonlanan bir sayı dizisidir.","Pascal üçgeninde sayılar, üstteki iki sayının toplamı olarak hesaplanır (örneğin 1+1=2, 1+2=3, 2+3=5).","Pascal üçgeninde sıfırıncı satır birinci satıra gelir ve sıfırıncı satırdaki eleman 1'dir (2⁰=1)."]},"beginTime":1,"endTime":103,"href":"/video/preview/16937830401907207508?parent-reqid=1767517804513329-785950722077836939-balancer-l7leveler-kubr-yp-klg-227-BAL&text=Pascal+Escoyez&t=1&ask_summarization=1"},{"index":1,"title":"Pascal Üçgeninin Kombinasyon İlişkisi","list":{"type":"unordered","items":["Pascal üçgenindeki sayılar kombinasyon sayılarını temsil eder; örneğin beşinci satırda 1, 5, 10, 10, 5, 1 sayıları sırasıyla 5'ün 0'lısı, 1'lisi, 2'lisini, 3'lüsü, 4'lüsü ve 5'lisini gösterir.","Herhangi bir n elemanlı kümenin tüm alt kümelerinin sayısı 2ⁿ'dir ve bu sayı Pascal üçgenindeki n. satırdaki sayıların toplamına eşittir.","Pascal üçgenindeki bir sayı, aynı satırdaki bir sonraki sayı ile birlikte toplandığında bir sonraki satırdaki karşılık gelen sayıya eşittir (örneğin 4C1 + 4C2 = 5C2)."]},"beginTime":103,"endTime":336,"href":"/video/preview/16937830401907207508?parent-reqid=1767517804513329-785950722077836939-balancer-l7leveler-kubr-yp-klg-227-BAL&text=Pascal+Escoyez&t=103&ask_summarization=1"},{"index":2,"title":"Pascal Özdeşliği ve Uygulamaları","list":{"type":"unordered","items":["Pascal özdeşliği, ardışık gelen kombinasyonların toplamının bir sonraki satırdaki karşılık gelen kombinasyona eşit olduğunu gösterir (nCr + nC(r+1) = (n+1)C(r+1)).","Pascal özdeşliği, ardışık kombinasyonların toplamını hesaplamak için kullanılır ve 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