A spatial analyst is mapping food access points across 5 neighborhoods. The total number of community gardens is 135, with each neighborhood having 3 more gardens than the previous. If the first neighborhood has G gardens, what is the number of gardens in the fifth neighborhood?
["Mapping Food Access: How Analytics Reveal Community Garden Distribution Across Neighborhoods", "Ensuring equitable access to fresh, local food is a cornerstone of sustainable urban planning. In a recent spatial analysis, a dedicated spatial analyst mapped food access points across five neighborhoods, focusing on community gardens—vital hubs for food security and community engagement. This detailed evaluation reveals an intentional distribution strategy: the total number of community gardens across the area is 135, and each neighborhood features 3 more gardens than the one before.", "Understanding how garden distribution unfolds across these neighborhoods not only highlights spatial patterns but also supports data-driven decisions for equitable resource allocation.", "### The Garden Count Pattern: A Step-by-Step Breakdown", "Let’s define the garden count per neighborhood using basic arithmetic. If the first neighborhood has G gardens, then the subsequent neighborhoods follow this sequence:", "- Neighborhood 1: G gardens\n- Neighborhood 2: G + 3 gardens\n- Neighborhood 3: G + 6 gardens\n- Neighborhood 4: G + 9 gardens\n- Neighborhood 5: G + 12 gardens", "This progression forms an arithmetic sequence where each neighborhood has 3 more gardens than the prior, emphasizing a measured, equitable growth strategy.", "### Solving for Neighborhood Five’s Garden Count", "To find the number of gardens in the fifth neighborhood, simply add 12 to the initial value:", "G5 = G + 12", "But how many gardens does the fifth neighborhood actually have? To solve this, we use the total number of gardens—135—across all five neighborhoods.", "The sum of the gardens is:", "[\nG + (G + 3) + (G + 6) + (G + 9) + (G + 12) = 5G + (3 + 6 + 9 + 12) = 5G + 30\n]", "Set this equal to the total:", "[\n5G + 30 = 135\n]", "Solve for G:", "[\n5G = 135 - 30 = 105 \\nG = \frac{105}{5} = 21\n]", "With G = 21, the number of gardens in the fifth neighborhood is:", "[\nG5 = 21 + 12 = 33\n]", "### Conclusion: Strong, Strategic Distribution for Urban Food Security", "The spatial analysis confirms a well-planned rollout of community gardens—27 more gardens added from neighborhood to neighborhood, reinforcing accessibility across all five areas. The fifth neighborhood hosts 33 gardens, part of a thoughtful pattern designed to maximize food access and strengthen community resilience.", "This kind of data-driven mapping empowers planners, policymakers, and residents to build healthier, more self-sufficient urban environments—one garden at a time.", "---", "Keywords: spatial analyst, community gardens, food access, urban planning, neighborhood analysis, food security, arithmetic sequence, resource distribution, GIS mapping."]
