If you do anything it doesn't like it will spring a warning dialog otherwise you'll see everything looks fine in that same memory tab…īTW, ignore the note that you can only get 32GB or 64GB as the 16GB chips were never certified by Apple, but have long been proven to work just fine, so long as you're running El Capitan. The info is linked directly from About this Mac > Memory > Memory Upgrade instructions, to
The dual processor Macs use a slightly more complex pattern, involving both banks, but the single cores are easy. You likely just need to purchase the correct speed of RAM. The 13' does officially (as in, according to Apple) support up to 8GB of RAM, so no, your software/firmware combo is not limiting you. Instead, it uses PC3-8500 DDR3 1066 MHz RAM.
Yes, the 2009 4,1 & 2010/12 5,1 Mac Pro single Xeons use RAM in adjacent pairs [unlike the old 2008 3,1 which looks like a knitting pattern ) As you can see, the 13' mid 2010 MacBook Pro does not take 1333 MHz RAM.