Number Pattern by Jevan

Pattern-in-a-Pattern @ Sec 1

hope you've been paying attention in class or else you'd have to list all the 50 terms :)

Formula for finding Pattern-Within-A-Pattern

This is the simpler version of finding the formula for Pattern-Within-A-Pattern.
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

References
http://www.purplemath.com/modules/nextnumb.htm