need help on these 2 questions:

1. (a) Plot the first four terms of the sequence 3miz - 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 ath 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)?(n +2) 20 In - 1)n3(n + 1) ] n=6 2. Consider the series E (In(2n + 1) - In(2n - 1)) . (a) Let an = In(2n + 1) - In(2n - 1). Does fan}, converge or diverge? (b) Let Sy be the Nth partial sum of the series, i.e. SN = > (In(2n + 1) - In(2n - 1)). 1=1 Simplify this expression for the Nth partial sum as much as possible by rewriting the expression for 5w without sigma notation (ie. expand the sum). (c) Use your expression for the Ath partial sum from (b) to show that this series diverges. Could you have also concluded this from the Divergence Test