Question

Describe an infinite geometric series with a beginning value of 2 that converges to 10. What are the first 4 terms of the sequence?
Please Help

Answer 1

I'm not sure ..but did you look it up :3
https://www.google.com/search?q=Describe+an+infinite+geometric+series+with+a+beginning+value+of+2+that+converges+to+10.+What+are+the+first+4+terms+of+the+sequence%3F&ie=utf-8&oe=utf-8

Answer 2

Ok cool Thanks :)

Answer 3

I hope it would help <3

Answer 4

@dumbcow

Answer 5

ok sorry i had to double check the math before i answered

so you have a geometric series:
\[2,2r,2r^2 ... 2r^n\]
where
\[\lim_{n \rightarrow \infty} r^n = 5\]
Note another limit used for continuous compounding, how "e" is defined
\[\rightarrow \lim_{n \rightarrow \infty} (1+\frac{i}{n})^n = e^i\]
Now if you let :
\[r = 1+\frac{i}{n} , i = \ln(5)\]
Then
\[\lim_{n \rightarrow \infty}r^n = (1+\frac{\ln(5)}{n})^n = e^{\ln 5} = 5\]

Answer 6

Whoa Thanks :)

Answer 7

yw