Question

could you also help me with (-1)^(n+1)(11^(n-1))/((n+7)^6(10^(n+2)) for L and where the equation editor is?

Answer 1

I don't get what you mean by
where the equation editor is?
Your problem :
\[L=\dfrac{(-1)^{n+1}*(11^{n-1})}{(n+7)^6*(10^{n+2})}\]
right? and what are we supposed to do?

Answer 2

find L value

Answer 3

thanks!

Answer 4

find L value for n =??

Answer 5

yes

Answer 6

looking to find the value of L in the ratio test

Answer 7

You meant test whether the sequence converges or diverges?

Answer 8

yes

Answer 9

Not necessarily related to your problem, but you asked where the equation editor is, you'll find it here: (see attached)

Answer 10

@jtvatsim please help him, I forgot how to do ratio test. :)

Answer 11

Ah... I was hoping you knew... Let me dust off the Calculus part of my brain. If I recall, it's pretty straightforward. :)

Answer 12

The ratio test says that we evaluate \[L = \lim_{n \rightarrow \infty} | \frac{a_{n+1}}{a_n} |\]

Answer 13

The criteria are that if L < 1 the series converges absolutely, if L > 1 the series diverges, and if L = 1, we have no clue.

Answer 14

So, with your current question, we have a very ugly fraction to take care of, but let's see what we get...

Answer 15

I'm not going to type out the gigantic intermediate steps, but I will clarify if you get an answer different than mine.

Answer 16

OK, I've gotten to this point so far

Answer 17

\[\lim_{n \rightarrow \infty} | - \frac{11 (n+7)^6}{10 (n+8)^6} |\]

Answer 18

Is that somewhat similar to what you got after simplifying?

Answer 19

yes you don't have to do the steps just struggling with may answer part, i have gotten many problems right so far
but for some reason can't get this one

Answer 20

any updates???