The sum of an arithmetic sequence is 210, with the first term as 5, and the last term as 50. How many terms are in the sequence?
["Why the Sum of an Arithmetic Sequence Equals 210 (With First Term 5 & Last Term 50) Is a Question Trending Now", "Curious about patterns in numbers? Recent searches in the U.S. reveal strong interest in arithmetic sequences—basic math structures that shape data analysis, finance, and even algorithm design. Users exploring equations like “the sum of an arithmetic sequence is 210, with first term 5 and last term 50. How many terms?” aren’t just solving math problems—they’re building analytical habits, tapping into real-world skills used in budgeting, performance tracking, and predictive modeling. As digital literacy grows, understanding these sequences becomes a subtle but valuable tool in a tech-driven society.", "Why This Mathematical Query Is Gaining Traction", "The question taps into a quiet trend: everyday people seeking clarity on logarithmic thinking in daily life. With rising demand for critical thinking around personal finance, education, and data literacy, finding how and why a sequence adds up to a specific total feels both satisfying and functional. It reflects a growing appreciation for structured reasoning—especially among learners, professionals, and casual nostalgists exploring patterns beyond the classroom.", "Digital tools and mobile learning platforms make these problem types more accessible than ever. Users scanning for quick, accurate answers now expect neat explanations delivered in short, digestible form—ideal for Discover’s mobile-first environment where time and trust matter.", "How Does the Sum of an Arithmetic Sequence Equal 210 Happen?", "An arithmetic sequence has a constant difference between consecutive terms. Here, the first term is 5, the last term is 50, and the total sum is 210. Using the classic formula for the sum of an arithmetic series:", "\[\nS = \frac{n}{2} (a + l)\n\]", "where \( S \) is the sum, \( n \) is the number of terms, \( a \) is the first term, and \( l \) is the last term. Plugging in:", "\[\n210 = \frac{n}{2} (5 + 50)\n\] \n\[\n210 = \frac{n}{2} \ imes 55\n\] \n\[\n210 = \frac{55n}{2}\n\]"]
