1. Use Gauss's approach to find a formula for the sum of the numbers from 1...
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1. Use Gauss's approach to find a formula for the sum of the numbers from 1 to n, 1+2+3+...+n where n is an even number. Your formula will be an expression involving n. 2. Test your formula from Practice Problem 1 for the following sums: a. 1+2 b. 1+2+...+6 c. 1+ 2+ + 10 *** d. 1+ 2+ + 100 e. 1+2+...+ 1000 *** 3. Now see if the same formula from Practice Problem 1 works when n is odd; try it on the following sums: a. 1+2+3 b. 1+2+...+5 c. 1+ 2+...+9 1. Use Gauss's approach to find a formula for the sum of the numbers from 1 to n, 1+2+3+...+n where n is an even number. Your formula will be an expression involving n. 2. Test your formula from Practice Problem 1 for the following sums: a. 1+2 b. 1+2+...+6 c. 1+ 2+ + 10 *** d. 1+ 2+ + 100 e. 1+2+...+ 1000 *** 3. Now see if the same formula from Practice Problem 1 works when n is odd; try it on the following sums: a. 1+2+3 b. 1+2+...+5 c. 1+ 2+...+9
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1 Gausss approach to find the sum of the first n positive integers where n is even involves using th... View the full answer
Related Book For
Applied Regression Analysis and Other Multivariable Methods
ISBN: 978-1285051086
5th edition
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
Posted Date:
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