The Solution:
A geometric sequence is said to converge if the value of the modulus of r is less than one, that is, when |r| < 1, the series converges. But when |r| ≥ 1, the series/sequence diverges.
Clearly, we have that:

[Option C] converges since

Similarly,
[Option E] converges since

Therefore, the correct answer is [option C and E]