The document describes several examples of iterative sequences: 1. Connecting the midpoints of triangles to generate smaller nested triangles with each iteration. 2. Alternating between connecting midpoints and removing coloring in triangles to produce a pattern of blank and shaded triangles. 3. Continuing a sequence of nested figures by applying the same transformation at each step. 4. Extending a numeric sequence following a given rule to generate additional terms. 5. Building up a sequence of letters by appending the next letter and repeating the prior term.