Which adapter will connect a 2013-2014 Macbook Pro to a 2006-2008 Apple Monitor?

I have a late 2013 Macbook pro, running Yosemite, Mac OS X 10.10.4. I wish to connect the Mac to an Apple external monitor which I purchased in 2007 -2009. This model monitor came with 3 plug ins: a firewire, a USB, and a video style plug in that has 2 groupings of 9 pins separated by a small space. Total number of pins is 18. I plugged the USB from the monitor's multi-plug assembly, but to my avail, there was no picture. My Macbook pro has no other compatible ports for this monitor. It has the USB port, an HDMI port, and 2 thunderbolt ports.
My question is, which of the adapters sold by Apple would get my external monitor working?

One more thing...when I plugged the power chord of said monitor into a power source, I saw a tiny light appear on the bottom right of its frame. After a few moments, this light was appearing to act like it was fading in and out. Does this mean it is in a sleep mode?

I anxiously await your reply. Thank you.