find the formula for the nth term and determine the sequence converges or diverges?
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2 / 1! , 8 / 2!, 26 / 3!, 80 / 4!, 242 / 5!, ...
2 / 1! , 2( 1+3) / 2!, 2(1+3+3^2) / 3!, 2( 1+3+3^2+3^3) / 4! 2(1+3+3^2+3^3+3^4), ...
nth term = 2[1+3+3^2+3^3+...+3^(n-1)] / n!
2 / 1! , 2( 1+3) / 2!, 2(1+3+3^2) / 3!, 2( 1+3+3^2+3^3) / 4! 2(1+3+3^2+3^3+3^4), ...
nth term = 2[1+3+3^2+3^3+...+3^(n-1)] / n!