Somerville Mayor Joseph Curtatone is inviting residents to guide city investments in several key parts of the city budget, including recreation and arts. The city is holding three public meetings for residents to give their input on what should be included in the fiscal year 2015 budget for recreation, public health, arts and culture, and civic engagement. Ideas from the public meetings and through additional community outreach will be put to a vote in a community survey. The first meeting is scheduled for Monday, Feb. 24, at 6:30 p.m. at the Capuano Early Childhood Center at 150 Glen St. Meetings will also be held Thursday, Feb. 27, in the West Somerville Neighborhood School at 6:30 p.m. and Saturday, March 1, at 11 a.m. in City Hall.