If a sequence begins with 3 and increases by 4 each time, what is the 15th term?
["Title: How to Find the 15th Term in an Arithmetic Sequence Starting with 3 and Increasing by 4", "When learning mathematics, understanding sequences is essential, especially arithmetic sequences where each term increases by a constant difference. If a sequence begins with 3 and increases by 4 with each step, determining the 15th term is a classic example that showcases how arithmetic progressions work.", "### What Is an Arithmetic Sequence?", "An arithmetic sequence is a list of numbers where each term after the first is obtained by adding a fixed number—called the common difference—to the previous term. In this case, the sequence starts at 3 and increases by 4 each time.", "### The General Formula", "To find the ( n )-th term of an arithmetic sequence, use the formula:", "[\na_n = a_1 + (n - 1) \ imes d\n]", "Where:\n- ( a_n ) = the ( n )-th term\n- ( a_1 ) = the first term\n- ( d ) = common difference\n- ( n ) = term number", "### Applying the Formula", "Given:\n- ( a_1 = 3 )\n- ( d = 4 )\n- ( n = 15 )", "Plug these values into the formula:", "[\na_{15} = 3 + (15 - 1) \ imes 4\n]", "[\na_{15} = 3 + 14 \ imes 4\n]", "[\na_{15} = 3 + 56\n]", "[\na_{15} = 59\n]", "### Conclusion", "The 15th term of the sequence that starts at 3 and increases by 4 each time is 59. This simple calculation highlights how arithmetic sequences work and how easily you can predict any term using the formula. Whether you're solving math problems or coding algorithms, knowing how to determine sequence terms saves time and builds foundational skills.", "---", "Keywords: arithmetic sequence, find 15th term, common difference 4, sequence formula, math practice, step-by-step calculation", "Meta Description: Discover how to find the 15th term in an arithmetic sequence starting at 3 with a common difference of 4 using the standard formula. Learn about sequences and solve math problems with confidence."]
