a. Prove that for all n E N, 1+2+3+...+ n = n(n + 1) 2 b....
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a. Prove that for all n E N, 1+2+3+...+ n = n(n + 1) 2 b. Suppose you have a book whose pages are numbered from 1 to 100. Use the formula in part a to find the sum of all of the page numbers in the book. c. Suppose that someone has taken the book from part b and torn out the sheet of paper that had page 53 on one side and page 54 on the other side. What is the sum of all of the remaining page numbers in the book? a. Prove that for all n E N, 1+2+3+...+ n = n(n + 1) 2 b. Suppose you have a book whose pages are numbered from 1 to 100. Use the formula in part a to find the sum of all of the page numbers in the book. c. Suppose that someone has taken the book from part b and torn out the sheet of paper that had page 53 on one side and page 54 on the other side. What is the sum of all of the remaining page numbers in the book?
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a Proof by mathematical induction Step 1 Base case n 1 For n 1 the lefthand side LHS is 1 and the ri... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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