More fun in 2016, Part 10

Algebra Level 4

\[1-3+6-10+\cdots-1953+2016= \, ?\]

Details and Assumptions

  • The expression above shows an alternating sum is running through the triangular numbers.

  • A triangular number is denoted by \(T_n = 1 + 2 + 3 + \cdots + n\). As an explicit example, \(T_{10} = 1+2+\cdots+10=55\).

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