Original Promptcreate a bellringer for 10th grade algebra 2 about sequencing using a the concept of providing a rule to a specific term and finding the terms after the sequence is followed. Use the step by step worked example in the attached lesson and make the questions look just like that worked example.
This bellringer activity focuses on recursive sequences, allowing students to apply a given recursive rule to determine the next three terms of a number sequence. The lesson includes a clear learning objective to ensure students can demonstrate mastery through accurate calculation and recording. It begins with a step-by-step worked example, illustrating the rule where each number is 1 less than twice the previous number, starting from the first term of 2. Following this, the students are prompted to solve problems using their own starting values and recursive rules, fostering independent thinking and creativity. The challenge at the end encourages students to create their own recursive rule, making them more engaged with the concept of sequences and recursion in algebra.