Sum of Arithmetic Series with Negative Terms

XAT 2017 · Quantitative Ability & Data Interpretation · Easy · Quantitative Ability

The sum of series, (−100)+(−95)+(−90)+⋯+110+115+120(-100) + (-95) + (-90) + \dots + 110 + 115 + 120, is:

  1. A.

    0

  2. B.

    220

  3. C.

    340

  4. D.

    450

  5. E.

    None of the above

Answer

D

Explanation

The terms from −100-100 to +100+100 sum to 00 because each negative term cancelled with its positive counterpart. The remaining terms are 105,110,115,120105, 110, 115, 120. Sum =105+110+115+120=450= 105 + 110 + 115 + 120 = 450.

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