Conclusion
Completion requirements
Should \(d = m \)? Stop for a moment and ask yourself if this makes
sense. Slope describes the vertical change per unit of horizontal
change. The common difference is the constant increase/decrease with
each increase in term number.
The \(y\)-intercept is more difficult to describe, but it is essentially the value of \(t_n \) when \(n \) is 0. When talking about arithmetic sequences, \(t_0 \) does not exist because \(n \) must be greater than 0 (since \(n \) corresponds to the term number… \(t_1 \), \(t_2 \) , etc.). However, graphically, it helps when trying to understand the simplified version of the general term.
The \(y\)-intercept is more difficult to describe, but it is essentially the value of \(t_n \) when \(n \) is 0. When talking about arithmetic sequences, \(t_0 \) does not exist because \(n \) must be greater than 0 (since \(n \) corresponds to the term number… \(t_1 \), \(t_2 \) , etc.). However, graphically, it helps when trying to understand the simplified version of the general term.