Turnbull Knight
07/12/2024 · Senior High School
9. Uppgiften ger max 4 poäng Betrakta summan \( 3+9+15+\ldots+3(2 n-1) \) a. Beräkna denna summa då \( n=5 \). b. Din vän Fatima påstår att \( s_{n}=3 n^{2} \). Visa med hjälp av induktion att Fatima har rätt
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a. När \( n = 5 \), summan är 75.
b. Fatima har rätt, \( s_n = 3n^2 \) gäller för alla naturliga tal \( n \).
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