Exploring Sequence and nth Term Expressions

This GeoGebra example demonstrates an interactive sequence explorer that generates terms, displays them through a table or grid layout, and reveals the algebraic expression for the nth term. It covers sequences, arithmetic or recursive patterns, term indexing, algebraic expressions, function mapping, and parameter control. The construction uses the Sequence command to create list1, while objects such as startingvalue, difference, showterm, and nthterm control the first term, step, displayed terms, and nth-term text. Additional objects including cellwidth, cellheight, horizontals, verticals, verticalbars, labelx, labely, offset, offsetv, and multiple text elements build the visual layout and annotations. It is suitable for middle and high school mathematics, introductory algebra, sequence lessons, function concept reinforcement, and GeoGebra classroom demonstrations.