diketahui barisan arimatika -8-4,0,4,.....384 berapakah nilai suku tengah
Matematika
tirtha1
Pertanyaan
diketahui barisan arimatika -8-4,0,4,.....384 berapakah nilai suku tengah
2 Jawaban
-
1. Jawaban qmase
Langsung aja.. Suku tengah = (suku pertama + suku terakhir)/2
(-8+384)/2
376/2
188
Jawabnya 188 -
2. Jawaban onnyfathi
Barisan Aritmatika
a = –8
b = U2 –U1
b = –4 – (–8)
b = 4
Un = a + (n–1)b
384 = –8 + (n–1)4
384 = –8 + 4n – 4
384 = 4n – 12
4n = 384 + 12
4n = 396
n = 396/4
n = 99
Suku tengah
= (99+1) / 2
= 50
U50 = a + 49b
U50 = –8 + (49×4)
U50 = –8 + 196
U50 = 188