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Consider the sequence with the i-th term being 2i ?1; so the first three terms are (1,3,5). (a) [3 pts.] Compute the partial sums of the first n terms of this sequence when: (i) n = 1, (ii) n = 2, (iii) n = 3. (b) [2 pts.] Based on your above answer, make a conjecture about the partial sum of the first n terms in this sequence for general n ?N,n ? 1. Your conjecture should be of the form Pni=1(2i

(a)(i) When n=1, the first term of the sequence is 2(1)?1=1, so the first partial sum is 1.(ii) When n=2, the first two terms of the sequenc