Question

Interpole 10 meios aritméticos entre 8 e 52

Answer 1

Encontrar a razão da PA:

an = a1 + ( n -1) . r

52 = 8 + ( 12 -1) . r

52 = 8 + 11r

44 = 11r

r = 4

====

an = a1 + ( n -1) . r = an

a1 = 8 + ( 1 -1) .4 = 8

a2 = 8 + ( 2 -1) .4 = 12

a3 = 8 + ( 3 -1) .4 = 16

a4 = 8 + ( 4 -1) .4 = 20

a5 = 8 + ( 5 -1) .4 = 24

a6 = 8 + ( 6 -1) .4 = 28

a7 = 8 + ( 7 -1) .4 = 32

a8 = 8 + ( 8 -1) .4 = 36

a9 = 8 + ( 9 -1) .4 = 40

a10 = 8 + ( 10 -1) .4 = 44

a11 = 8 + ( 11 -1) .4 = 48

a12 = 8 + ( 12 -1) .4 = 52

PA = (8 , 12, 16, 20 , 24 , 28 , 32 , 36 , 40, 44, 48, 52)