Solution: The sequence is $11071, 11073, 11075, 11077, 11079$. The sum of an arithmetic sequence is given by $S = \frac{n}{2}(a_1 + a_n)$. Here, $n = 5$, $a_1 = 11071$, and $a_5 = 11079$.

["Understanding the Arithmetic Sequence: 11071, 11073, 11075, 11077, 11079", "Arithmetic sequences form a fundamental part of math education and everyday problem-solving. Today, we explore a concise yet insightful arithmetic sequence:\n11071, 11073, 11075, 11077, 11079", "---", "### Key Details of the Sequence", "- Common Difference ($d$): The difference between consecutive terms is $2$. This confirms it is indeed an arithmetic sequence.\n- First Term ($a_1$): 11071\n- Fifth Term ($a_5$): 11079\n- Number of Terms ($n$): 5", "---", "### Calculating the Sum Using the Arithmetic Sequence Formula", "The sum $S$ of the first $n$ terms of an arithmetic sequence is calculated with the formula:\n[\nS = \frac{n}{2}(a_1 + a_n)\n]\nWhere:\n- $n$ = number of terms\n- $a_1$ = first term\n- $a_n$ = last (fifth) term", "Plugging in the known values:\n[\nS = \frac{5}{2}(11071 + 11079)\n]", "Calculate the sum inside the parentheses:\n[\n11071 + 11079 = 22150\n]", "Now compute the sum:\n[\nS = \frac{5}{2} \ imes 22150 = \frac{110750}{2} = 55375\n]", "---", "### Final Result", "The sum of the sequence $11071, 11073, 11075, 11077, 11079$ is 55,375.", "---", "### Why This Sequence Matters", "Arithmetic sequences model real-world patterns like periodic events, incremental savings, or evenly spaced data points. Mastering their sum helps in fields such as finance, computer science, and data analysis.", "Understanding the structure — identifying $n$, $a_1$, and $a_n$ — enables quick calculations and deeper insight into problem-solving strategies.", "---", "### Quick Recap", "- Sequence: 11071, 11073, 11075, 11077, 11079\n- $n = 5$, $a_1 = 11071$, $a_5 = 11079$\n- Sum: 55,375\n- Formula: $S = \frac{n}{2}(a_1 + a_n)$", "Keep practicing — mastery of sequences starts with understanding the basic building blocks!", "---", "Keywords: arithmetic sequence sum, sequence sum formula, arithmetic sequence 11071 to 11079, calculate arithmetic series, arithmetic sequence problems, math tutorial, sequence solution, sum of arithmetic terms.\nMeta Description: Learn how to sum the arithmetic sequence 11071, 11073, 11075, 11077, 11079 using the formula $S = \frac{n}{2}(a_1 + a_n)$ with step-by-step calculation and real-world relevance."]









