The rest of this week will be much warmer and dry with highs reaching the 80's Thursday through the weekend. Surface high pressure is building in from the Southeast U.S. today, and will settle over the Mid-Atlantic the rest of the week. Here's the surface map early Wednesday morning, where you can see the center of the high pressure is over eastern Tennessee:
This is accompanied by an upper-level ridge as well, which means skies will remain mostly sunny the rest of this week. High temperatures will reach the 80's Thursday through Sunday widespread in Central Virginia for the first time this Spring. The highest temperature in Richmond so far this year is 79 degrees on March 20th.