Question

intrarpole 11 meios aritméticos entre 1 e 37.

Answer 1

Encontrar a razão da PA:

an = a1 + ( n -1) . r
37 = 1 + ( 13 -1) . r
37 = 1 + 12r
36 = 12r
r = 3

===

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

a1 = 1 + ( 1 -1) .3 = 1
a2 = 1 + ( 2 -1) .3 = 4
a3 = 1 + ( 3 -1) .3 = 7
a4 = 1 + ( 4 -1) .3 = 10
a5 = 1 + ( 5 -1) .3 = 13
a6 = 1 + ( 6 -1) .3 = 16
a7 = 1 + ( 7 -1) .3 = 19
a8 = 1 + ( 8 -1) .3 = 22
a9 = 1 + ( 9 -1) .3 = 25
a10 = 1 + ( 10 -1) .3 = 28
a11 = 1 + ( 11 -1) .3 = 31
a12 = 1 + ( 12 -1) .3 = 34
a13 = 1 + ( 13 -1) .3 = 37


PA = ( 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37 )