Question

Quiz Matematika
OSN
Dilarang Copas
Dilarang Jawab Ngasal
Dilarang Abusive Answer
Tingkat:Easy
Dijawab memakai Cara

Answer 1

Verified answer

Bab Pola Bilangan
Matematika SMP Kelas VII

pada penyebut
1/(1 x 2) = 1/2
1/(1 x 2) + 1/(2 x 3) = 1/2 + 1/6 = 3/6 + 1/6 = 4/6 = 2/3
1/(1 x 2) + 1/(2 x 3) + 1/(3 x 4) = 2/3 + 1/(3 x 4) = 8/12 + 1/12 = 9/12 = 3/4

maka

1/(1 x 2) + .... + 1/(2.003 x 2.004) = 2.003 / 2004

2.400/(1 x 2) + .... + 2.004/(2.003 x 2.004) = 2.004 x 2.003 / 2.004 = 2.003

jawabannya B

Answer 2

Verified answer

Mapel : Matematika
Tingkat : Olimpiade
Bab : Barisan dan Deret

Pembahasan :
[2004/(1.2)] + [2004/(2.3)] + [2004/(3.4)] + ... + [2004/(2003.2004)]

Soal diatas bisa diselesaikan menggunakan Prinsip Teleskoping...
= 2004/1 - (2004/2004)
= 2004 - 1
= 2003

Opsi B.