Answer the following questions related to the sum of a constant sequence.
a. (i) Define a finite series and write the general sigma–notation form for the sum of the first n terms of a sequence a1,a2,…,an.
b. (ii) Starting from first principles (writing out all the terms explicitly), explain why k=1∑n1=n for every positive integer n.
c. (iii) Distinguish between the sums k=1∑n1 and k=1∑nk with respect to the type of sequence involved and the respective closed-form expressions for their sums.