Tolong ya pakai cara Terimakasih
Matematika
stef7
Pertanyaan
Tolong ya pakai cara Terimakasih
1 Jawaban
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1. Jawaban arsetpopeye
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