Given the series below find the following 8 n 2 n 0 a Expand the series showing the first four terms a a a and a in your expansion b Write out the first four partial sums S S S3 and S c Write an expression for S the n th partial sum d Does the series converge or diverge Base your answer on part c not the absolute value of r e If convergent what is S the sum of the entire series Base your answer on the work for part d O Converges