1. (a) Plot the first four terms of the sequence 3n2 - 3n + 2 2 (b) (i) Write in bracket notation the sequence for the number of points in the following sequence of figures. (ii) Find the n such that the nth term for the sequence found in part (i) has 210 points. (c) Determine if the following sequence converges or diverges and find the limit if possible. In( n + 1 ) 2 ( n + 2 ) 10 (n - 1)n2(n +1) )n=6 2. Consider the series E (In(2n + 1) - In(2n - 1)) . n = 1 (a) Let an = In(2n + 1) - In(2n -1). Does {an}=1 converge or diverge? (b) Let SN be the Nth partial sum of the series, i.e. SN = (In(2n + 1) - In(2n -1)). n=1 Simplify this expression for the Nth partial sum as much as possible by rewriting the expression for SN without sigma notation (i.e. expand the sum). (c) Use your expression for the Nth partial sum from (b) to show that this series diverges. Could you have also concluded this from the Divergence Test