OK, my guess at the 17 is:
Arkansas - Little Rock
Arizona - Phoenix
Alaska - Juneau
Colorado - Denver
Delaware - Dover
Georgia - Atlanta
Hawaii - Honolulu
Iowa - Des Moines
Maryland - Annapolis
Massachusetts - Boston
Mississippi - Jackson
Nebraska - Lincoln
New Mexico - Santa Fe
Oklahoma - Oklahoma City
Rhode Island - Providence
Utah - Salt Lake City
Am pretty certain that Montgomery, Alabama (Birmingham is biggest city); Sacramento, California (is Los Angeles); Tallahassee, Florida (Miami and Jacksonville are bigger for starters); Topeka, Kansas (Kansas City is bigger); Frankfort, Kentucky (Louisville and Lexington both bigger); Baton Rouge, Louisiana (New Orleans); Albany, New York (New York); Columbus, Ohio (Cincinnati and Cleveland are bigger); Salem, Oregon (Portland); Austin, Texas (Houston, Dallas, San Antonio are all bigger); Olympia, Washington (Seattle is bigger).
Arkansas - Little Rock
Arizona - Phoenix
Alaska - Juneau
Colorado - Denver
Delaware - Dover
Georgia - Atlanta
Hawaii - Honolulu
Iowa - Des Moines
Maryland - Annapolis
Massachusetts - Boston
Mississippi - Jackson
Nebraska - Lincoln
New Mexico - Santa Fe
Oklahoma - Oklahoma City
Rhode Island - Providence
Utah - Salt Lake City
Am pretty certain that Montgomery, Alabama (Birmingham is biggest city); Sacramento, California (is Los Angeles); Tallahassee, Florida (Miami and Jacksonville are bigger for starters); Topeka, Kansas (Kansas City is bigger); Frankfort, Kentucky (Louisville and Lexington both bigger); Baton Rouge, Louisiana (New Orleans); Albany, New York (New York); Columbus, Ohio (Cincinnati and Cleveland are bigger); Salem, Oregon (Portland); Austin, Texas (Houston, Dallas, San Antonio are all bigger); Olympia, Washington (Seattle is bigger).