In this unit, we will begin to discuss reasoning and proof and how these topics relate to both geometry and algebra. We will accept some statements to be truths, while in other contexts we will develop a general rule after considering specific cases. The idea of proof is very important in mathematics.
When the first difference in our sequences is a constant number we can use linear equations to predict what any term (nth term) will be in the sequence.
If a constant second difference exists in a sequence, we can use quadratics and a system of equations to predict what any term (nth term) will be in the sequence.