[tex] > \: resolucao \\ \\ \geqslant \: progressao \: \: aritmetica \\ \\ a1 = 3 \\ an = 150 \\ r = 3 \\ \\ = = = = = = = = = = = = = = = \\ \\ an = a1 + (n - 1)r \\ 150 = 3 + (n - 1)3 \\ 150 = 3 + 3n - 3 \\ 150 = 3n \\ n = \frac{150}{3} \\ n = 50 \\ \\ = = = = = = = = = = = = = \\ \\ > soma \: dos \: termos \: da \: pa \\ \\ sn = \frac{(a1 + an)n}{2} \\ \\ sn = \frac{(3 + 150)50}{2} \\ \\ sn = \frac{153 \times 50}{2} \\ \\ sn = 153 \times 25 \\ \\ sn = 3825 \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant [/tex]

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