anonymous
  • anonymous
For every positive integer, prove that 1+2+...+n= n(n+1)/2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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DebbieG
  • DebbieG
Inductive proof, maybe?
asnaseer
  • asnaseer
or try reversing the sequence and then adding it to itself, i.e. 1 + 2 + 3 + ... + n n + (n-1) + (n-2) + ... + n -----------------------
asnaseer
  • asnaseer
you may spot a pattern

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asnaseer
  • asnaseer
sorry - small mistake: or try reversing the sequence and then adding it to itself, i.e. 1 + 2 + 3 + ... + n n + (n-1) + (n-2) + ... + 1 -----------------------
DebbieG
  • DebbieG
if n=2, then n(n+1)/2 = 2(3)/2=3 and 1 + 2 =3 Now assume it hold for k, so the 1+2+....+k=k(k+1)/2 Then show it for k+1, using the result for n=k.
asnaseer
  • asnaseer
@kdekle - you now have two methods to try out - take your pick! :)
DebbieG
  • DebbieG
Or better yet... prove it twice! :)
asnaseer
  • asnaseer
he he - too true @DebbieG :)
anonymous
  • anonymous
so @DebbieG, I should do like Induction to prove that this is correct?

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