[tex] > \: resolucao \\ \\ \geqslant \: progressao \: \: aritmetica \\ \\ an = a1 + (n - 1)r \\ an = a1 + (50 - 1)5 \\ an = a1 + 49 \times 5 \\ an = a1 + 245 \\ \\ = = = = = = = = = = = = = = = = \\ \\ sn = \frac{(a1 + an)n}{2} \\ \\ 6625 = \frac{(a1 + a1 + 245)50}{2} \\ \\ 6625 = \frac{(2a1 + 245)50}{2} \\ \\ 13250 = 100a1 + 12250 \\ \\ 100a1 = 13250 - 12250 \\ \\ 100a1 = 1000 \\ \\ a1 = \frac{1000}{100} \\ \\ a1 = 10 \\ \\ = = = = = = = = = = = = = = = = = \\ \\ > \: o \: 50 \: termo \: da \: pa \\ \\ \\ an = a1 + (n - 1)r \\ an = 10 + (50 - 1)5 \\ an = 10 + 49 \times 5 \\ an = 10 + 245 \\ an = 255 \\ \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant [/tex]
