When Carl Friedrich Gauss (1777 - 1855) was at school his teacher wanted time off and gave the class the following question to keep them busy: Add all the natural number from 1 to 100 together. A few seconds later the young Carl Gauss showed his blackboard to the teacher. On his blackboard he had written the correct answer! How did he add up the numbers so quickly?

When Carl Friedrich Gauss (1777 - 1855) was at school his teacher wanted time off and gave the class the following question to keep them busy: Add all the natural number from 1 to 100 together. A few seconds later the young Carl Gauss showed his blackboard to the teacher. On his blackboard he had written the correct answer! How did he add up the numbers so quickly?

Name: 1. Use the example above to deduce Gauss's theorem for the first 99 co
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: 1. Use the example above to deduce Gauss's theorem for the first 99 counting numbers his teacherWhen Carl Friedrich Gauss (1777 - 1855) was at school -wanted time off and gave the class the following question to keep thembusy:Add all the natural numb

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

5. (a) Find a formula for the number of square tiles in the figures below. n= 1 n= 2 n= 3 n= 4 (b) How many square tiles would be in the 20th figure?
Discrete math: Display addition and multiplication tables for Ζ8.
6.5432 X 106 6543200 3. Perform the following operations in Excel. First write down exactly what is displayed then write this answer in scientific notation. 0.55285545,52855407 x 455,000 * 823,000 0.00138 24 172800 1,230,000 * 508,000 231 14,200*598 60,432,000,000 52 - 0.75 (28,500+1,265)*512,000
. How many ways can you order the letters of ACCURACY if it ends with exactly 2 C’s?
Question 8b) I rounded to the nearest ten thousand and worked out that all of the numbers below will round to 420 000. The teacher marked it as incorrect as she rounded the numbers to the nearest thousand. By her textbook definition alone surely I was supposed to round to the nearest 10, 000? The number 420,000 has four zeros? Or am I wrong? Thanks for your time...
Question 5
Consider the list of numbers: 2n-1, where n first equals 2, then 3, 4, 5,6,…What is the smallest value of n for which 2n -1 is not a prime number. Show all your work.
Let n 153 You line up the coins (numbered 1 to n) heads up with #1 closest to you. step 1: you turn over every coin. step 2: go back to #1 and turn over every 2nd coin starting with coin #2. step 3: go back to #1 and turn over every 3rd coin starting with #3. and so on through step n: you turn over every the nth coin. How many times was the nh coin turned over and is it heads or tails and WHY? (HINT: It should be clear that to do this question you should not need to do every step !)
What is the frequency of the note seven half-steps below middle A (which has a frequency of 437 cps)? ten half-steps below middle A? The frequency seven half-steps below middle A is (Round to the nearest integer as needed.) cps.
Genralize if the numbers 1 to n are placed around a circle in some order what is the best possible lower bound on k such that some set of three consecutive number sum to at least k
Help with number 1 please
Can you show me how to do a tape diagram for 5/3