The MySQL repository is broken upstream. See Can't install MySQL 5.7 on Ubuntu Trusty.
If it helps, you’ll be able to use MySQL 5.7 on our Xenial image. To do so, please remove
addons:
apt:
sources:
- mysql-5.7-trusty
packages:
- mysql-server
and add
dist: xenial
services:
- redis-server
- mysql
to your .travis.yml file.
Please let us know how it goes.
Thanks!