Question

Interpole 10 meios aritméticos entre 5 e 38.

Answer 1

Encontrar a razão da PA.

an = a1 + ( n -1) . r

38 = 5 + ( 12 -1) . r

38 = 5 + 11r

33 = 11r

r = 3

===

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

a1 = 5 + ( 1 -1) .3 = 5

a2 = 5 + ( 2 -1) .3 = 8

a3 = 5 + ( 3 -1) .3 = 11

a4 = 5 + ( 4 -1) .3 = 14

a5 = 5 + ( 5 -1) .3 = 17

a6 = 5 + ( 6 -1) .3 = 20

a7 = 5 + ( 7 -1) .3 = 23

a8 = 5 + ( 8 -1) .3 = 26

a9 = 5 + ( 9 -1) .3 = 29

a10 = 5 + ( 10 -1) .3 = 32

a11 = 5 + ( 11 -1) .3 = 35

a12 = 5 + ( 12 -1) .3 = 38

PA = (5 , 8, 11, 14, 17, 20, 23, 26 . 29. 32 . 35, 38)