This is probably quite simple, but for some reason, I am having a problem with it.
Ok, I'm trying to find x in this series of numbers
1 , 1x , 1x^2 , 1x^3 , ..... , 0.2
the sum of all numbers in the series = 5
I would assume the solution has to do with logarithms.
If someone could show me how to find the solution to this, I would greatly appreciate it, thanks.
I've been fiddling with this a bit. We know that the series is geometric, so
where r = x and n is the number of terms in the sequence.
So we know that for some integer n. Thus we can find that for some n.
We also have that
So plugging in various values of n we can get x and thus . The problem is, no matter how large n is I can't get the sum to be larger than 1.25! (In fact 1.25 is the limit for .)
I don't know if I'm doing this wrong, or if the problem can't be done.
-Dan