The sequence

Level pending

Look at the following sequence. The sequence occurs infinitely for any integer.

\[ \ldots , 0,0,4,12,24,40, 60, \ldots \]

Find the value of the difference between the \(n^\text{th}\) term and the \( -(n+1)^\text{th} \) term of this sequence.

Clarifications :

  • The value of the sequence is "0" only for 2 terms, \(-1\) and \(0\)
  • Suppose for example take the sequence \(-2, -1, 0, 1, 2, 3, 4, 5\), and let \(2^{nd}\) term be \(4\), then \(-(2+1)^{th}\) term is \(-2\), then your answer would be \(4-(-2) = 6\)
  • The terms of the sequence is in ascending order
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