The tougher way (the one I know and used to) is by using quadratic equation.
Generally, a pattern within a pattern has an
where n represents the nth-term
The 1st term of the polynomial will be equal to the common difference divided by the factorial of the polynomial's degree.
In the example above, the common difference was 2 and the degree was 2, so the leading coefficient is 2/2! = 2/2 = 1
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