u5= 15 u8=24 pada barisan bilangan aritmatika tentukan s8
Matematika
hari67
Pertanyaan
u5= 15 u8=24 pada barisan bilangan aritmatika tentukan s8
1 Jawaban
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1. Jawaban Gracia04
U5 = 15 => a + 4b = 15
U8 = 24 => a + 7b = 24
eliminasi :
a + 7b = 24
a + 4b = 15 -
3b = 9
b = 9/3
b = 3
cari nilai a
a + 4b = 15
a + 4 x 3 += 15
a + 12 = 15
a = 15-12
a = 3
Sn = 1/2(n) (2a+ (n-1) b)
S8 = 1/2 (8) (2 x 3 + (8-1) 3)
= 4 (6 + 7 x 3)
= 4 (6+ 21)
= 4 x 27
= 108