A community garden has 15 rows of tomato plants. Each row has 7 more plants than the previous, starting with 8. How many tomato plants are there in total?
["How Do Community Gardens Plan Growth? The Math Behind a 15-Row Tomato Arrangement", "Curious why a community garden’s layout draws attention? Imagine 15 parallel rows, each packed with flourishing tomato plants—starting with just 8 in the first row, then boosting by 7 more plants per row. What does that total look like? This arrangement is not just a visual confidence booster; it reflects intentional planning that balances yield, space, and community engagement. With exploratory gardening trends highlighting efficiency and sustainability, such mathematical precision matters more than most think.", "The shift toward thoughtful, math-based designs in urban agriculture speaks to growing interest in food security and green space access across the United States. Gardens like the one described—15 rows, starting at 8 with incremental growth—embody a trend that blends tradition with modern planning. These calculations aren’t just numbers; they fuel curiosity and reinforce community pride.", "Let’s break down how this tomato garden is structured. Starting with 8 plants in row one, each successive row adds 7 more. The next row holds 15, the third 22, and so on. This pattern creates a predictable sequence: 8, 15, 22, 29… halfway through, rows rise steadily, reflecting a steady total. Adding these grows step-by-step reveals why the total reaches a remarkable sum—proof that simple arithmetic supports scalable, sustainable growth.", "### A Community Garden Has 15 Rows of Tomato Plants. Each Row Has 7 More Plants Than the Previous, Starting With 8. How Many Tomato Plants Are There in Total?", "Mathematically, this sequence follows an arithmetic progression: first term 8, common difference 7, and 15 terms. The formula for the total sum \( S_n = \frac{n}{2} \ imes (2a + (n - 1)d) \) applies perfectly. Plugging in \( n = 15 \), \( a = 8 \), \( d = 7 \): \n\( S_{15} = \frac{15}{2} \ imes (16 + 98) = \frac{15}{2} \ imes 114 = 15 \ imes 57 = 855 \).", "So, the total number of tomato plants spans 855. This total isn’t arbitrary; it aligns with efficient space use and community participation goals, encouraging deeper exploration into modern gardening wisdom.", "### Why A Community Garden Has 15 Rows of Tomato Plants. Each Row Has 7 More Plants Than the Previous, Starting With 8"]
