Is the series 2 + 14 + 98 + ? convergent or divergent?

Question

agent0smith · Answer

If you add together 2+14+98, does it look like it's approaching a limit (convergent), or just getting bigger with each term you add (divergent)? 2, then 2+14 = 16, then 2+14+98 = 114

anonymous · Answer

so will it be divergent or convergent?

anonymous · Answer

well it if its r < 1 it will be convergent and if its r > 1 it wll be divegent

anonymous · Answer

helloo???

anonymous · Answer

can you explain it to me what you mean above?

anonymous · Answer

@satellite73  can you help please?

agent0smith · Answer

Well for a series to be convergent, the individual terms of the series must approach zero. Do the terms 2, 14, 98 appear to be approaching zero?

anonymous · Answer

no

anonymous · Answer

so it will be divergent right?

agent0smith · Answer

Correct. Any series where the individual terms don't approach zero diverges.

anonymous · Answer

okay and r will be?

anonymous · Answer

it will be 7 right?

agent0smith · Answer

Yep, the common ratio r between terms would be 7.