In this worksheet, students will explore the Nth terms of linear sequences to accomplish several key tasks. They will: generate sequences from given Nth terms, find specific terms within these sequences, determine whether a given number is part of a sequence, and calculate which term will cause a sequence to exceed a specified value.
The sequences provided include both increasing and decreasing patterns, with some featuring fractional coefficients of n. Students will need to find the Nth term for two numerical sequences and two sequences expressed as patterns. These skills will be applied to answer various questions related to the sequences.