Respuesta :

1st let's calculate r the common ratio:
 r = (-2187)/(6561) = (729)/(-2187) = -1/3

Value of nth term = a₁.rⁿ⁻¹, where a₁= 1st term and n, the rank

Value of nth term = 6561r⁸⁽⁻¹⁾ = 6561.(-1/3)7

Value of nth term = -3