Question

qual a soma dos números inteiros pares de 50 a 500​

Answer 1

$> resolucao \\ \\ > progressao \: aritmetica \\ \\ \\ an = a1 + (n - 1)r \\ 500 = 50 + (n - 1)2 \\ 500 = 50 + 2n - 2 \\ 500 = 48 + 2n \\ 500 - 48 = 2n \\ 452 = 2n \\ n = \frac{452}{2} \\ n = 226 \\ \\ \\ = = = = = = = = = = = = = = \\ \\ \\ sn = \frac{(a1 + an)n}{2} \\ \\ sn = \frac{(50 + 500)226}{2} \\ \\ \\ sn = \frac{550 \times 226}{2} \\ \\ sn = 550 \times 113 \\ \\ sn = 62150 \\ \\ \\ = = = = = = = = =$