ITSC 2175, Logic and Algorithms Homework #9 Due 4/4 5:00 PM 1. Give the first six terms of the following sequences. You can assume that the sequences start with an index of 1. (a) The neris n (b) The first term is 1 and the second term is 2. The rest of the terms are the sum of the two preceding terms. (c) A geometrie sequence in which the first value is 2 and the common ratio is 2. (d) An arithmetic sequence in which the first value is 5 and the common difference ?s 3. (e) g 3 and 92 2. -2+9n-1 2. Evaluate the following summations. You must show your work to receive credits. 60 (b) ?(2k +1) 100 (1.02 3. Prove the following statements by induction. (a) For any integer n 20. L2.3 -3+1 (b) For any integer n 21,n