7th Grade Graphs of Sequences Quizzes

In 7th grade, students move beyond basic plotting to formally identify and graph arithmetic and geometric sequences. The key learning objective is to analyze and compare the distinct visual patterns they create: a straight line for arithmetic sequences and a curve for geometric ones.

A great strategy is to have students graph one of each type side-by-side using the same first term. For example, compare the graph of 'start at 2, add 3 each time' with 'start at 2, multiply by 3 each time.' The visual contrast between the linear and exponential growth becomes immediately clear.

These quizzes help students practice plotting sequences from given rules, identifying whether a sequence is arithmetic or geometric based on its graph, and describing the visual trend, such as 'increasing at a constant rate' or 'increasing at an accelerating rate'.

A common mistake is reversing the axes. Students may incorrectly plot the term's value on the horizontal axis and the term's position on the vertical axis. Reinforce that the term number (n) is the input (x-coordinate) and the term value (a_n) is the output (y-coordinate).

This quiz is designed for flexibility. You can download the printable PDF for students to complete on paper, then grade their work quickly using the Wayground for Teachers app. You can also assign it as a digital activity on the Wayground platform. An answer key is always included.

Graphing sequences in 7th grade builds on Common Core's focus on proportional relationships and linear equations. Graphing an arithmetic sequence provides a discrete model of a linear function, reinforcing the concept of a constant rate of change (slope) that students are learning about in standards like 7.RP.A.2 and 7.EE.B.4.