An Impossible Series! - Deliberation

Algebra Level 2

What will come after

1 , 2 , 3 , 1, 2, 3,

This problem has now become a part of my set Trickster .

4 5 10 Impossible to Determine

Ameya Salankar by Ameya Salankar , 23, India

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1 solution

Ameya Salankar
Apr 19, 2014

One can generate a formula for the n t h n^{th} term of this series in infinite ways.

  1. If the formula is a n = n a_n = n (where a n a_n is the n t h n^{th} term), then the answer would be 4 4 .
  2. If the formula is a n = ( n − 1 ) ( n − 2 ) ( n − 3 ) + n a_n = (n-1)(n-2)(n-3) + n , then the answer would be 10 10 .

& so on.

⇒ \Rightarrow The answer is Impossible to Determine .

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice n interesting question. ?..:):):)

Het Patel - 6 years, 4 months ago

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