1 More
Level
pending
What is 1 - 1 + 1 - 1 + 1 - 1 + ...
if the pattern it has remains constant and goes on indefinitely?
State your answer in decimal form if necessary.
The answer is 0.5.
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
Let's set this term to x. Then, 1 - x equals 1 - (1-1+1...). Distributing 1-x yields equals 1-1+1-1+1 ... . Here's where the magic begins. The term on the right side is equivalent to x. There fore, 1 - x = x --> 2x = 1. Dividing gives x = 0.5.