Question

considere a P.A. ( 100,93,86,...) determine a posição do termo de valor 37 ?

Answer 1

a1=100
r= 93-100= -7

a37=a1+36r
a37= 100+36r
a37= 100+36.(-7)
a37=100-252
a37= -152

Answer 2

$\boxed{a_n=a_1+(n-1)*r}\\\\ r = a_2-a_1\\\\ r = 93-100\\\\ \boxed{r=-7}\\\\ a_3_7 = 100+(37-1)*-7\\\\ a_3_7 = 100-252\\\\ \boxed{a_3_7 = -152}$