SOLUTION: Please help me with this mathematical induction question:
Suppose we want to use mathematical induction to prove the following statement for all positive integers n:
1+3+5+..
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Suppose we want to use mathematical induction to prove the following statement for all positive integers n:
1+3+5+..
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Question 986221: Please help me with this mathematical induction question:
Suppose we want to use mathematical induction to prove the following statement for all positive integers n:
1+3+5+...+(2n-1)=n^2
In the induction step, we might prove that 1+3+5+...+(2k-1)=k^2 implies the statement:
1+3+5+...+(2k-1)+(2k+1)=?
What is the correct expression in the variable k for the right side?
Thank you for your help and time. Answer by ikleyn(52776) (Show Source):
