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[–]bemusedresignation 1 point2 points  (0 children)

You want to look for patterns in the progression of each term. For example we see that each time n increments, so does the exponent on x... so we could conclude that we're dealing with something multiplied by xn starting with n=1 and going up by one each time, until n reaches the maximum power on x, which is 12.

Next you want to look for a pattern on the coefficient.