Question

Interpole oito meios aritméticos entre 26 e -1.


Obrigado!

Answer 1

Encontrar a razão da PA:

  an = a1 + ( n -1) . r
-1 = 26 + ( 10 -1) . r
-1 = 26 + 9r
-27 = 9r  
r = -27/9
r = -3 

===

an = a1 + ( n -1) . r  = an
an = 26 + ( 1 -1) .-3 = 26
an = 26 + ( 2 -1) .-3 = 23
an = 26 + ( 3 -1) .-3 = 20
an = 26 + ( 4 -1) .-3 = 17
an = 26 + ( 5 -1) .-3 = 14
an = 26 + ( 6 -1) .-3 = 11
an = 26 + ( 7 -1) .-3 = 8
an = 26 + ( 8 -1) .-3 = 5
an = 26 + ( 9 -1) .-3 = 2
an = 26 + ( 10 -1) .-3 -1


PA = (26, 23, 20, 17, 14, 11, 8, 5, 2, -1 )