Question

Escreva os próximos 5 termos da pg (1/3, 5/6,.. )

Answer 1

PG 1/3, 5/6, ...

achar 'q' o razão da PG
q = 5/6 / 1/3 = 5/6x3/1 = 15/6 = 5/2

aplicando a formula: An=A1xq^(n-1)

A3 = 1/3x(5/2)^3-1 = 1/3x(5/2)² = 1/3x25/4 = 25/12
A4 = 1/3x(5/2)^4-1 = 1/3x(5/2)³ = 1/3x125/8 = 125/24
A5 = 1/3x(5/2)^5-1 = 1/3x(5/2)^4 = 1/3x625/16 = 625/48
A6 = 1/3x(5/2)^6-1 = 1/3x(5/2)^5 = 1/3x3125/32 = 3125/96
A7 = 1/3x(5/2)^7-1 = 1/3x(5/2)^6 = 1/3x15625/64 = 15625/192

então PG = 1/3, 5/6, 25/12, 125/24, 625/48, 3125/96, 15625/192

Espero ter lhe ajudado!