Geomerti seq

[sturdy blade]

part a?

for a series to be convergent, the mod of x <1

in this case there is a coefficicnet for x

[dire lava]

geomerti

[steady ginkgo]

if it converges that means it tends to a finite value
so
the modulus of the common ratio must be less than 1 for it to keep getting smaller and smaller and smaller
the common ratio here is
-2x
so

absolute value of -2x, < 1
and u go from there
should get
-0.5<x<0.5