Question

Interpolando 9 meios aritméticos entre 15 e 45, qual será o sexto termo da PA?​

Answer 1

$> resolucao \\ \\ progressao \: \: aritmetica \\ \\ an = a1 + (n - 1)r \\ 45 = 15 + (11 - 1)r \\ 45 = 15 + 10r \\ 45 - 15 = 10r \\ 30 = 10r \\ r = \frac{30}{10} \\ r = 3 \\ \\ \\ \geqslant \: o \: 6 \: termo \: da \: pa \\ \\ a6 = a1 + 5r \\ a6 = 15 + 5 \times 3 \\ a6 = 15 + 15 \\ a6 = 30 \\ \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant$