S_n uchun yechish
S_{n}=\frac{n\left(5n+9\right)}{2}
n uchun yechish
n=\frac{\sqrt{40S_{n}+81}-9}{10}
n=\frac{-\sqrt{40S_{n}+81}-9}{10}\text{, }S_{n}\geq -\frac{81}{40}
Baham ko'rish
Klipbordga nusxa olish
S_{n}=\frac{n\left(5n+9\right)}{2}
\frac{n}{2}\left(5n+9\right) ni yagona kasrga aylantiring.
S_{n}=\frac{5n^{2}+9n}{2}
n ga 5n+9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
S_{n}=\frac{5}{2}n^{2}+\frac{9}{2}n
\frac{5}{2}n^{2}+\frac{9}{2}n natijani olish uchun 5n^{2}+9n ning har bir ifodasini 2 ga bo‘ling.
Misollar
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