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Legend has it that the great mathematician Carl Friedrich Gauss (1777-1855) at a very young age was told by his teacher to find the sum of the first 100 counting numbers. While his classmates toiled at the problem, Carl simply wrote down a single number and handed the correct answer in to his teacher. The young Carl explained that he observed that there were 50 pairs of numbers that each added up to 101. So the sum of all the numbers must be 50 1015050. Use the method of Gauss to find the sum. 1+2+3+...+ 940 1+2+3+...+ 940 =

Legend has it that the great mathematician Carl Friedrich Gauss (1777-1855) at a very young age was told by his teacher to find the sum of the first 100 counting numbers. While his classmates toiled at the problem, Carl simply wrote down a single number and handed the correct answer in to his teacher. The young Carl explained that he observed that there were 50 pairs of numbers that each added up to 101. So the sum of all the numbers must be 50 1015050. Use the method of Gauss to find the sum. 1+2+3+...+ 940 1+2+3+...+ 940 =

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 5CT: A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The...
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Legend has it that the great mathematician Carl Friedrich Gauss (1777-1855) at a very young age was told by his teacher to find the sum of the first 100 counting numbers. While his classmates toiled at the problem, Carl simply wrote down a single number and handed the correct answer in to his teacher. The young Carl explained that he observed that there were 50 pairs of numbers that each added up to 101. So the sum of all the numbers must be 50 1015050. Use the method of Gauss to find the sum. 1+2+3+...+ 940 1+2+3+...+ 940 =
Transcribed Image Text:Legend has it that the great mathematician Carl Friedrich Gauss (1777-1855) at a very young age was told by his teacher to find the sum of the first 100 counting numbers. While his classmates toiled at the problem, Carl simply wrote down a single number and handed the correct answer in to his teacher. The young Carl explained that he observed that there were 50 pairs of numbers that each added up to 101. So the sum of all the numbers must be 50 1015050. Use the method of Gauss to find the sum. 1+2+3+...+ 940 1+2+3+...+ 940 =
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