Series Question

JAN 2018 10 a) Consider the infinite series M (n2 + 3n+2) n=1 i) Find the k" partial sum of the series. (7 marks) ii) Hence, determine whether the series converges or diverges. If it converges, find the sum of the series. (4 marks) (Hint: Use partial fractions) Ans: 5 JUN 2018 a) Determine the convergence of the following sequence: 7n3 i) 15 +3 Jn=1 (6 marks) Ans: i) 0 ii) infinity JUN 2019 a) i) Show that Vn+1- Vn _1 Vn2+n Un vn+1 ii) Hence, find the k" partial sum of the series S'Vn+1- Jn n-1 Vn2 + n iii) Determine whether the series converges or diverges. (6 marks) (Hint: Use partial fractions) Ans: 1