Question

Determina el quinto y sexto término de la progresión aritmética:
8x - 12, 9x - 7, 10x - 2, 11x + 3,...

Answer 1

hallando la razon
9x - 7  - (8x - 12) = 9x - 7 - 8x + 12 = x + 5

5)  11x + 3 + x + 5 = 12x + 8

6) 12x + 8 + x + 5 = 13x + 13

Answer 2

8x - 12,   9x - 7,    10x - 2,   11x + 3,...

r  =  9x-7 - (8x-12)
r  =  9x-7-8x+12
r  =  x + 5 

r = 10x-2 - (9x-7)
r = 10x-2 -9x+7
r = x + 5

entonces:

Tn = T1 + (n-1)r 
T5 = 8x-12 + (5-1)(x+5)
T5 = 8x-12 +(4)(x+5)
T5 = 8x-12+4x+20
T5 = 12x+8


Tn = T1 + (n-1)r 
T6 = 8x-12 + (6-1)(x+5)
T6 = 8x-12 +(5)(x+5)
T6 = 8x-12+5x+25
T6 = 13x+13