A sequence is defined by \(a_n = 2n + 3\). What is the 10th term?

["### Understanding Linear Sequences: How to Find the 10th Term of ( a_n = 2n + 3 )", "When studying sequences in mathematics, one essential concept is a linear sequence — a pattern where each term follows a consistent rule involving a linear formula. The sequence defined by\n[\na_n = 2n + 3\n]\nis a perfect example of such a pattern. In this article, we’ll explore what this sequence represents, how to compute any term, and specifically determine the 10th term.", "---", "### What Is a Linear Sequence?", "A linear sequence is defined by a formula where each term depends linearly on its index ( n ), typically written as:\n[\na_n = mn + b\n]\nwhere:\n- ( m ) is the common difference between consecutive terms (slope of the sequence),\n- ( b ) is the constant added to generate the first term.", "In our case,\n[\na_n = 2n + 3\n]\nmeans each term increases by 2 as ( n ) increases by 1 — a clear linear pattern.", "---", "### Computing the ( n )-th Term", "To find any term ( a_n ), simply substitute the value of ( n ) into the formula. For example:\n- ( a_1 = 2(1) + 3 = 5 )\n- ( a_2 = 2(2) + 3 = 7 )\n- and so on.", "This straightforward substitution rule makes predicting future terms quick and reliable.", "---", "### Finding the 10th Term", "To find the 10th term (( n = 10 )), apply the formula directly:\n[\na_{10} = 2(10) + 3 = 20 + 3 = 23\n]", "---", "### Summary", "- The sequence defined by ( a_n = 2n + 3 ) is a linear sequence with a common difference of 2.\n- Each term increases predictably: from 5, 7, 9, 11, ..., where each increment follows the formula.\n- The 10th term is 23, computed simply as ( a_{10} = 2(10) + 3 = 23 ).", "Whether you're solving math problems, working on patterns in data, or building foundational algebra skills, recognizing and computing terms in linear sequences is a valuable skill.", "---", "### TL;DR:\nUsing the formula ( a_n = 2n + 3 ), the 10th term is ( \boxed{23} )."]