2016 Madness

Algebra Level 2

2016 + 2015 + 2014 2013 2012 2011 + + 6 + 5 + 4 3 2 1 = ? \large{2016+2015+2014-2013-2012-2011 + \dots \\ \dots+6+5+4-3-2-1= \ ?}


The answer is 3024.

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2 solutions

Andrea Mitta
Apr 11, 2016

Let 2016 + 2015 + 2014 2013 2012 2011 = 6 + 5 + 4 3 2 1 = a 2016+2015+2014-2013-2012-2011=6+5+4-3-2-1=a a = 9 a=9 for all those sequences. So finding the number of sequences 2016 ÷ 6 = 336 2016÷6=336 we can calculate the answer 336 × a = 336 × 9 = 3024 336×a=336×9=\boxed{3024}

Yes, that is absolutely right. Thank you, Andrea, for posting the best solution for me.

Jingyang Tan - 5 years, 1 month ago

Do you wanna know a secret? I am 12 only...

Jingyang Tan - 5 years, 1 month ago
Jingyang Tan
Apr 11, 2016

  • ||row 1 col 1||row 1 col 2|| ||row 2 col 1||row 2 col 2||bold text**

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