Matematika

Pertanyaan

Tolong ya pakai cara Terimakasih
Tolong ya pakai cara Terimakasih

1 Jawaban

  • 1/(2017^-1 + 1) . (2017)/(2017)
    = 2017/(1 + 2017)

    1/(2016^-1 + 1) . (2016)/(2016)
    = 2016/(1 + 2016)

    1/(2017^-1 + 1) + 1/(2016^-1 + 1) + 1/(2015^-1 + 1) + ..... + 1/(2015 + 1) + 1/(2016 + 1) + 1/(2017 + 1)

    = (2017)/(1 + 2017) + (2016)/(1 + 2016) + (2015)/(1 + 2015) + .... + 1/(1 + 2015) + 1/(1 + 2016) + 1/(1 + 2017)

    = (2017)/(1 + 2017) + 1/(1 + 2017) + (2016)/(1 + 2016) + 1/(1 + 2016) + (2015)/(1 + 2015) + 1/(1 + 2015) + ....... + 1/(1 + 1) + 1/(1 + 1) + 1/(0 + 1)

    = (2017 + 1)/(1 + 2017) + (2016 + 1)/(1 + 2016) + (2015 + 1)/(1 + 2015) + .... + (1 + 1)/(1 + 1) + 1/(0 + 1)

    = (2018)/(2018) + (2017)/(2017) + (2016)/(2016) + (2015)/(2015) + ... + 2/2 + 1/1

    = 1 + 1 + 1 + ..... + 1 => sebanyak 2018
    = 1 (2018)
    = 2018