Can you assist  me in  verifing    that    for    all    n ≥ 1,    the    sum    of    the    first    2n positive    integers    is given    by    the     formula: 12 + 22 + 32 + ··· + (2n)2 = n(2n + 1)(4n + 1)                                                         3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you assist  me in  verifing    that    for    all    n ≥ 1,    the    sum    of    the    first    2n positive    integers    is given    by    the    
formula:
12 + 22 + 32 + ··· + (2n)2 = n(2n + 1)(4n + 1)
                                                        3

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