1 + 4 1 + 5 1 + 6 1 + ⋯ = ?
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.
You make a "leap of faith" at the end, of course, as you casually move from the finite case to the limit ;)
But this cannot be called as a solution to this problem...
Log in to reply
Yeah because how do we know whether we have to start with 25 or any other number
Brilliant!
This question is wrong as it can have infinite solutions...for example if we start with 3...with the same process we can have d result...but we have to continue with fractions...this infinite series was ramanujan's which can be started with any number...
Problem Loading...
Note Loading...
Set Loading...
we start with A=5 ⟹ A = 2 5 ⟹ A = 1 + 2 4 ⟹ A = 1 + 4 × 6 ⟹ A = 1 + 4 3 6 ⟹ A = 1 + 4 1 + 5 × 7 ⟹ A = 1 + 4 1 + 5 4 9 ⟹ A = 1 + 4 1 + 5 1 + 6 × 8 ⟹ A = 1 + 4 1 + 5 1 + 6 6 4 ⟹ A = 1 + 4 1 + 5 1 + 6 1 + 7 ⋯ Hence A = x = 5