If the end of your tape seems to melt right into the roll, here's a simple tip to help you find the end quickly.
To prevent the end of the packaging tape from sticking to the roll (and making it difficult to find the end again), I use a paperclip at the end of the tape.
When I need to unroll tape, I just lift the paperclip, and I'm ready to go. Before cutting the tape, I reposition the paperclip to prevent the end from adhering to the roll so I'm ready for the next time.
I've been taking advantage of Amazon's trade-in program to trade some of our used DVDs, video games, and books for Amazon credit. As a result, I've been packaging items and taping up boxes. This tip has made the job much easier.