Question

How do you find the first five terms of the geometric sequence `a_1=576`, r=-1/2?

Answer 1

See explanation

Explanation:

`a_1=576(-1/2)^0 = 576xx(1) =+576`

`a_2=576(-1/2)^1=-288`

`a_3=576(-1/2)^2 = +144`

`a_4=576(-1/2)^3 = -72`

`a_5=576(-1/2)^4= +36`

By observation, for any `i` we have `a_i=576(-1/2)^(i-1)`