Algebra Please Help Easy questions but i need help

Question

plz help..

question:

Considering arithmetic and geometric sequences, would there ever be a time that a geometric sequence does not out grow an arithmetic sequence in the long run as the number of terms of the sequences become really large?

Answer 1

Sure!

If the difference in an arithmetic sequence is 1 and the first term is 0, the terms go to infinity.

If the ratio in a geometric series is 0.1 and the first term is 1, the terms go to 0.