[tex] > resolucao \\ \\ \geqslant progressao \: aritmetica \\ \\ an = a1 + (n - 1)r \\ 994 = 14 + (n - 1)7 \\ 994 = 14 + 7n - 7 \\ 994 = 7 + 7n \\ 994 - 7 = 7n \\ 987 = 7n \\ n = \frac{987}{7} \\ n = 141 \\ \\ \\ \geqslant \: soma \: dos \: termos \: da \: pa \\ \\ \\ sn = \frac{(a1 + an)n}{2} \\ \\ sn = \frac{(14 + 994)141}{2} \\ \\ sn = \frac{1008 \times 141}{2} \\ \\ sn = 504 \times 141 \\ \\ sn = 71064 \\ \\ \\ > < > < > < > < > < > < > > > [/tex]
