Thread: converging/diverging of geometric series

I have a question about the lim as it approaches infinity of ((-6)^(n-1))/(5^(n-1)). I am unsure what to do.. completely actually. I was thinking i would try to put it in a/(1-r) mode, but i dont really know how, or if that is even the right thing to do.

Originally Posted by RhotelidlewildR

I have a question about the lim as it approaches infinity of ((-6)^(n-1))/(5^(n-1)). I am unsure what to do.. completely actually. I was thinking i would try to put it in a/(1-r) mode, but i dont really know how, or if that is even the right thing to do.

You said series. So I assume you are talking about . Merely note that ...so what?

I need to find whether that is converging or diverging, and if convergence i need to find the limit. But yes, that is what i meant.

Originally Posted by RhotelidlewildR

I need to find whether that is converging or diverging, and if convergence i need to find the limit. But yes, that is what i meant.

But my dear RhotelidlewildR I did tell you whether or not it converges.

Originally Posted by Drexel28

But my dear RhotelidlewildR I did tell you whether or not it converges.

yeah, so unless i am wrong (which i very well could be) it is greater than one so it converges. But my problem is breaking it down to what value it converges at. Do i divide by ln(n) since it is the loswest power in the numerator? I am just really lost. Thanks for your patience!

Originally Posted by RhotelidlewildR

yeah, so unless i am wrong (which i very well could be) it is greater than one so it converges. But my problem is breaking it down to what value it converges at. Do i divide by ln(n) since it is the loswest power in the numerator? I am just really lost. Thanks for your patience!

Now I am really lost. Where did this come from? Also, if the series is indeed what I posted in my seminal post then the series diverges.

haha

i am sorry i accidentally ran off on another problem. So is this the way i do it... a=-1, r=(6/5), but if that is the case i end up with -1/-(1/5) or 5. this is confusing the life out of me.

If then diverges.