Question

Interpole oito meios aritimeticos entre os números -2 e 13

Answer 1

P.A.(-2,  -1/3, -4/3, 9/3 , 14/3 , 19/3 , 27/3 , 29/3 , 34/3 , 39/3)
P.A.(-2 , -1/3 , -4/3 , 3  , 14/3 , 19/3  , 9 , 29/3 , 34/3 , 13 ) (SIMPLIFICANDO )
a 1 = -2
a 10 = 13
a 10 = a 1 + 9 r
13 = -2 + 9 r
13 + 2 = 9 r
15 = 9 r
15/9 = r
simplificando por 3   =   r = 5/3
a 2 = a 1 + r  = -2 + 5/3 = -6/3 + 5/3 = -1/3
a 3  = a 1 + 2 r = -2 + 2.1/3 = -2 + 2/3 = -6/3 + 2/3 = -4/3
a 4 = a 1 + 3 r = -2 + 3 . 5/3 = - 2 + 15/3 = - 6/3 + 15/3 = 9/3 = 3
a 5 = a 1 + 4 r = -2 + 4.5/3 = - 2 + 20/3 = - 6 /3 + 20 / 3 = 14/3
a 6 = a 1 + 5.r = -2 + 5 . 5/3 = -2 + 25/3 = -6/3 + 25/3 = 19/3
a 7 = a 1 + 6 r = -2 + 6 . 5/3 = -2 + 30/3 = -3/3 + 30/3 = 27/3
a 8 = a 1 + 7 r = - 2 + 7 . 5/3 = - 2 + 35/3 = -6/3 + 35/3 = 29/3
a 9 = a 1 + 8.r = - 2 + 8 . 5/3 = -2 + 40/3 = -6/3 + 40/3 = 34/3
a 10 = a 1 + 9 r = -2 + 9 . 5/3 = -2 + 45/3 = -6/3 + 45/3 = 39/3 = 13