Tenth term \( a_{10} = 3(10) + 2 = 32 \)

Sat, 02 May 2026 17:20:34 +0000

Discovering the Tenth Term of a Linear Sequence: The Formula \\( a_{10} = 3(10) + 2 \\) In mathematics, particularly in sequences and algebra, understanding how to find specific terms is essential for solving problems efficiently. One common type of sequence is arithmetic, where each term increases by a constant difference. A fascinating example of this is a linear formula used to calculate terms directly—like when finding the tenth term, denoted as \\( a_{10} \\), using the expression \\( a_{10} = 3(10) + 2 \\). ### What is the Tenth Term in a Sequence? The tenth term, \\( a_{10} \\), represents the value of a sequence at the tenth position. In an arithmetic sequence, each term is generated by adding a fixed number—the common difference—between successive terms. However, unlike simple arithmetic progressions where \\( a_n = a_1 + (n−1)d \\), some sequences follow more generalized linear formulas, especially when defined explicitly.