Consider the statement For all n E N, 1+3+5++ (2n-1) = n². (the left hand side is the sum of the first few odd integers.) Which of the following is equivalent to the above statement? For all n E N, (2i + 1) = n² O None of the these. For all n Ε Ν, Σ1 (2i − 1) = n". For all n E N, (2i - 1) = n² Ο For all in ΕΝ, Σ1 (2% + 1) = n F

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the statement
For all n E N, 1+3+5++ (2n-1) = n².
(the left hand side is the sum of the first few odd integers.)
Which of the following is equivalent to the above statement?
O For all n E N, (2i+1) = n²
None of the these.
For all n € Ν, Σ1 (2% - 1) = n?.
Ο For all n ΕΝ,
Σο(2% – 1) = n
For all n E N, ₁(2i + 1) = n²
Transcribed Image Text:Consider the statement For all n E N, 1+3+5++ (2n-1) = n². (the left hand side is the sum of the first few odd integers.) Which of the following is equivalent to the above statement? O For all n E N, (2i+1) = n² None of the these. For all n € Ν, Σ1 (2% - 1) = n?. Ο For all n ΕΝ, Σο(2% – 1) = n For all n E N, ₁(2i + 1) = n²
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