On the first day, she will do 10 push-ups.
On the second day, she will do 10 + 5 = <<10+5=15>>15 push-ups.
On the third day, she will do 15 + 5 = <<15+5=20>>20 push-ups.
So, Geli will do a total of 10 + 15 + 20 = <<10+15+20=45>>45 push-ups in a week.
#### 45