Question

Interpole 11 meios aritméticos entre 1 e 37.

Answer 1

$P.A \\ \\ a_n=37 \\ a_1=1 \\ n=11+2=13 \\ r=? \\ \\ a_n=a_1+(n-1)r \\ \\ 37=1+(13-1)r \\ 37=1+12r \\ 12r=37-1 \\ 12r=36 \\ r=36\div12 \\ r=3 \\ \\ Logo~~teremos \\ \\ (1,4,7,10,13,16,19,22,25,28,31,34,37)$