MA121 Lecture 1: MA121-Lab4
Document Summary
Review guide for the tutorial and written quizzes of lab 5. Part i. sigma summation and its role in proofs by the mathematical induction. In mathematical proofs and scienti c computations it is often necessary to express the sum of a large number of terms. A convenient method to save time and space is to adopt the sigma notation, using the greek letter sigma in its capital form, , to denote summation. Given a nite set of consecutive integers m, m + 1, . , m + p = n, assign each of these numbers, say, k, to a quantity f (k) that is to be added as a summand in a summation. Then the sum of these p + 1 terms, f (m), f (m + 1), . , f (m + p), may be written as follows n f (m) + f (m + 1) + + f (n) = f (k),
