Evaluate Part 4
1 + 2 + 3 + 4 + 5 + ⋯ + 4 2 1 … 1 1 1 1
Compute the number above to four decimal places.
The answer is 1.4331.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
But the problem is asking for numbers till 42, not an infinitely continued fraction. How do we calculate that?
Log in to reply
We just need the approximate value, so we can take the infinitely continued fraction (since 42 is so big. )
In that discussion, the infinite answer is I 0 ( 2 ) I 1 ( 2 ) , not I 1 ( 2 ) I 0 ( 2 )
View this discussion . When the fraction is infinitely extended, the ratio becomes I 1 ( 2 ) I 0 ( 2 )