Determining nth term of pattern or spatial pattern

Task goals

• Find the nth term rule of a linear number sequence by finding the common difference and adjusting the constant term.
• Find the nth term rule of a linear spatial (diagram-based) pattern by counting the constant change between stages and the starting value.
• Use a given nth term rule to calculate a specific term's value.
• Use a given nth term rule to find which term number gives a stated value, by forming and solving an equation.
• Explain how the coefficient of n in an nth term rule relates to the constant difference between consecutive terms.