Read the following proof and determine what the author is attempting to prove. Identify and correct...
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Read the following proof and determine what the author is attempting to prove. Identify and correct the logical error in the argument. Proof: Suppose that (2i-1)= k² for some k € Z+. Now consider the sum (2-1). We k+1 can separate the last term, which gives us i=1 (2i-1)=(2i-1)+2k +1. By hypothesis, k+1 k+1 this is equal to k² + 2k +1. Factoring, this is equal to (k+ 1)². Hence (2-1) = (k+1)². im1 Read the following proof and determine what the author is attempting to prove. Identify and correct the logical error in the argument. Proof: Suppose that (2i-1)= k² for some k € Z+. Now consider the sum (2-1). We k+1 can separate the last term, which gives us i=1 (2i-1)=(2i-1)+2k +1. By hypothesis, k+1 k+1 this is equal to k² + 2k +1. Factoring, this is equal to (k+ 1)². Hence (2-1) = (k+1)². im1
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Statement 211n MEN 11 Base Case ie 143 454 Now we can prove ... View the full answer
Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
Posted Date:
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