Please help with following questions:

Series Given an infinite sequence an , we have the infinite series Lan = a1 + a2 + a3 + ... Define its partial sums $1 = al $2 = 01 + 02 $3 = a1 + a2 + 03 Sn ak = al taz tag + ... + an *=1 If the sequence of partial sums (sn }, converges to a limit S, then the infinite series is called convergent and we write Can = S n = 1 The number S is called the sum of the series. If the sequence . sn is divergent, then the series is called divergent. 1. (AP.) 83. The infinite series at has nth partial sum S = 3n + 1 for n 2 1. What is the sum of the series (A) - (C) 1 (D) N/W (E) The series diverges. 2. (AP) 6. The infinite series _a, has nth partial sum S, = (-1)"+ for n 2 1. What is the sum of the series _ ax ? (A) -1 (B) 0 (D) 1 (E) The series diverges.3. (Telescoping Series) Determine if the series converges. If it is convergent, compute the sum of the series. 1 (a) Z n(n+2] n=1 (\"gm Geometric Series CX. _ 9 E or\" 1 = a + m' or" + ' '- n=| o a is the rst term a r is the common ratio 0 If |r| 0 for all n. The rst term of the series is a] = 48, and the third l no term is 03 = 12. Which of the following statements about 2:2,, is true? :I m n (A) 2a,, = 64 111 (B) 2a,, = 96 n:l on (C) Z on converges, but the sum cannot be determined from the information given. nl (D) Zen diverges. nl