4+8+12+... + 4n=2n(n+1)

Question

19-02-2015
Mathematics

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4+8+12+... + 4n=2n(n+1)

Answer :

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Panoyin Panoyin · Answer 1 · 2015-02-21T11:22:46-05:00

4 + 8 + 12 + 4n = 2n(n + 1)
      24 + 4n = 2n(n) + 2n(1)
      24 + 4n = 2n² + 2n
   -2n -2n
      24 = 2n²
      24 = 2n²
   2 2
      12 = n²
      √12 = n
        √4 × 3 = n
       √4 √3 = n
   2 √3 = n