Diketahui suatu barisan aritmatika dengan U9= 15 dan U17=47. nilai dari U5 adalah ?
ulilharirah39
U9 = a + (n-1)b = a + (9-1)b = a + 8b U17 = a + (n-1)b = a + (17-1)b = a + 16b cari nilai b a + 8b = 15 a + 16b = 47 -8b = -32 b = 4 cari nilai a a + 8b = 15 a + 8(4) = 15 a + 32 = 15 a = -17 jadi U5 = a + (n-1)b = -17 + (5-1)4 = -17 + 16 = -1 U5 = -1
= a + (9-1)b
= a + 8b
U17 = a + (n-1)b
= a + (17-1)b
= a + 16b
cari nilai b
a + 8b = 15
a + 16b = 47
-8b = -32
b = 4
cari nilai a
a + 8b = 15
a + 8(4) = 15
a + 32 = 15
a = -17
jadi U5 = a + (n-1)b
= -17 + (5-1)4
= -17 + 16
= -1
U5 = -1