Quiz Math ^_^
Hitunglah
Petunjuk:
1. Cari pola penyebut
2. Gunakan prinsip deret teleskopik
Hitunglah
Petunjuk:
1. Cari pola penyebut
2. Gunakan prinsip deret teleskopik
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Verified answer
Jawab1/8 = 1/(4.1.2)
1/24 = 1/(4.2.3)
1/48= 1/(4.3.4)
...
1/10.200 = 1/(4)(50)(51)
50
∑ 1/(4n(n+1))
i = 1
1/4 ( 1/(1.2) + 1/(2.3) + ...+1/(50.51))=
= 1/4(1- 1/2 + 1/2 -1/3 + 1/3 - 1/4 + ...+1/50 -1/51)
= 1/4 (1 - 1/51)
= 1/4 (50/51)
= 25/102