Geometric Sequence

Question

find the next four terms

a1=729

r=-1/3

Answer 1

So the formula for the geometric series is

x_n = ar^(n-1)

when x_n = sequence that follows, a = is the first term r = common ratio n= 1,2,3,4

in our case a = 729, r = 1/3

x_n = (729)(-1/3)^(1-1),(729)(-1/3)^(2-1),(729)(-1/3)^(3-1),(729)(-1/3)^(4-1)

x₁ = 729, x₂ = -243, x₃ = 81, x₄= -27

Answer 2

Sadie, it really is that simple. The next term is -243. I bet you can find the rest.