Non-Linear Pattern: https://www.youtube.com/watch?v=XvHnyWW14eU&list=PLJ-ma5dJyAqpnISaquK-gmr8MHKiYXhQM&index=2
Model Exponential Application: https://www.youtube.com/watch?v=b3rur5lVt0U&list=PLJ-ma5dJyAqpnISaquK-gmr8MHKiYXhQM&index=1
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Finite difference related to the degree of the polynomial. If the first finite difference is constant then the polynomial is linear; if the second is constant then it is quadratic; if the third is constant then it has to be cubic in nature and so on. There is also a very important relation between the leading coefficient degree of polynomial and the finite difference: a n! = Finite difference.
