Does the following infinite series converge or diverge? Explain You're answer (3)/(12) + (12)/(2) + (48)/(2) + (192)/(2) + ... A. It diverges it has a sum B. it convergee i…

Question

Does the following infinite series converge or diverge?

Explain You're answer


`(3)/(12) + (12)/(2) + (48)/(2) + (192)/(2) + ...`
A. It diverges it has a sum

B. it convergee it does not have a sum

C. it diverges it does not have a sum

D. it converges it has a sum

Answer 1

Look like that first one is supposed to have a denominator of 2.

This is a geometric series with a common ratio 4, so it diverges (absolute value 1 or more), meaning it has no sum. Choice C.