Probably a) because you can see that the numbers are getting bigger, and will reach infinity without stopping.
The other ones are getting smaller, so at some point, they'll reach a definite number, or really close to one.
If you really want a clear image of this happening, try finding a pattern and adding as much of them as possible. If it doesn't diverge, you'll see that it will start to approach a certain number. If it does, well, you'll just keep getting a bigger and bigger number until your calculator explodes.
Which of the following series diverges?
a) 5 + 10 + 15 + 20 +...
b) 45 + 15 + 5 + 5/3 + ...
c) 3/4 + 3/16 + 3/64 +..
d) 1/2 + 1/4 + 1/8 + 1/16 +...
Thank you!
1 answer