Matematika

Pertanyaan

nilai dari 1/2017-2/2017+3/2017-4/2017...+2001/2017-2002/2017 =


a. -1/2017
b. -1000/2017
c. -1001/2017
d. 1000/2017
e. 1001/2017

1 Jawaban

  • 1/2017 - 2/2017 + 3/2017 - 4/2017 + ... + 2001/2017 - 2002/2017
    = (1 - 2 + 3 - 4 + .... + 2001 - 2002) / 2017
    = (-1 + (-1) + .... + (-1)) / 2017
    = (-1 . 1001) / 2017
    = -1001/2017

    (-1) + (-1) + .... + (-1) ====> (-1) nya sebanyak (2002/2) = 1001

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