Lesson 22 Guide to Finding the Nth Term with Full Solutions

Apply a clear pattern rule first by comparing consecutive values and writing a linear expression using position numbers. Check growth by subtraction, then confirm consistency across at least three entries before moving ahead.

Use tables to pair position index with sequence values. Multiply index by step size, then adjust using initial offset. This method reduces errors and keeps calculations transparent during review.
Review completed solutions line by line after independent work. Focus on setup accuracy, arithmetic checks, and alignment between index numbers and output values to secure reliable results.