# If 0< a_n <b_n and the series a_n diverges then the series b_n diverges. Is this statement true or false?

##### 1 Answer

May 9, 2018

True

#### Explanation:

This is the definition of the comparison test for series. This statement is most definitely true.

Let

#0 < a_n < b_n#

And since

Hopefully this helps!