8+9+10+....85 rumus gauss
Matematika
hisyamanggara
Pertanyaan
8+9+10+....85 rumus gauss
2 Jawaban
-
1. Jawaban Machzen
A =8
B =9-8 =1
Banyak suku :
= 85 -7
= 78
S78 :
= n/2 (a + Un)
= 78/2 (8 + 85)
= 39 x 93
= 3627 -
2. Jawaban Anonyme
Bab Pola Bilangan
Matematika SMP Kelas VII
8 + 9 + 10 + ... + 85 = ?
penjumlahan bilangan asli berurutan = 1/2 x n x (n + 1)
n = bilangan terakhir
8 + 9 + 10 + ... + 85 = (1 + 2 + 3 + .... + 85) - (1 + 2 + 3 + 4 + 5 + 6 + 7)
= (1/2 x 85 x (85 + 1)) - (1/2 x 7 x (7 + 1))
= (1/2 x 85 x 86) - (1/2 x 7 x 8)
= 3.655 - 28
= 3.627