Question

Interpole 3 meios aritméticos entre 2/5 e 28/3.

Answer 1

a1 = 2/5 =  a5 = 28/3

a5 = a1 + ( n - 1 ).r

28/3 = 2/5 + ( 5 - 1 ) .r

28/3 = 2/5 + 4r

28/3 - 2/5 = 4r

140 - 6 / 15 = 4r

134 / 15 = 4r

r = 134 / 60

r = 67 / 30

a2 = 2/5 + 67/30 = 12 + 67 / 30 = 79 / 30

a3= 79/30 + 67/30 = 146 / 30

a4 = 146/30 + 67 / 30 = 213 / 30