Question

calcule a soma dos 7 primeiros termos da Pg: (300,100, 100/3,...)

Answer 1

P.G.(300,100,100/3,
q = a 2 / a 1
q = 100/300
q = 1/3
a 1 = 300
a 2 = 300.1/3 = 300/3 = 100
a 3 = 100 . 1/3 = 100/3
a 4 = 100/3 .1/3 = 100/9
a 5 = 100/9 . 1/3 = 100/27
a 6 = 100/27 . 1/3 = 100/81
a 7 = 100/81 . 1/3 = 100/243
S 7 = a 1 + a 2 + a 3 +a 4 + a 5 + a 6 + a 7
S 7 = 300 + 100 + 100/3 + 100/9 + 100/27 + 100/81 + 100/243
m.m.c = 243
S 7 = (72900 + 24300 + 8100 + 2700 + 900 + 300 + 100) / 243
S 7 = 109300/243