1. Dari barisan
aritmatika diketahui suku ke-10 adalah 41 dan suku ke-5 adalah 21,
maka besarnya suku ke-50 adalah ....
A. 200 D.
203
B. 201 E.
204
C. 202
Jawaban
: B
Un =
a + ( n – 1 )b
U10 = a + 9b = 41
U5 = a + 4b = 21 _
a + 4b = 21 → a + 4.4
=21 → a + 16 = 21→ a =5
U50 =
a + ( 50 – 1 )4
=
5 + 49.4
=
5 + 196
=
201
2. Jumlah n suku pertaman deret aritmatika
dinyatakan dengan Sn = n2 + 5n. Suku ke-20 dari deret
aritmetika tersebut adalah ….
A. 44 D.
38
B. 42 E.
36
C. 40
(UN 2012)
Jawaban : A
Un =
Sn – Sn – 1
U20 =
S20 – S19 = (202 + 5.20) – (192 +
5.19)
=
500 – 456 = 44
3. Seorang penjual daging pada bulan
januari dapat menjual 120 kg, bulan Februari 130 kg, Maret dan seterusnya
selama 10 bulan selalu bertambah 10 kg dari bulan sebelumnya. Jumlah daging
yang terjual selama 10 bulan adalah ….
A. 1.050
kg D. 1.650 kg
B. 1.200
kg E. 1.750 kg
C. 1.350 kg
(UN 2011 P54)
Jawaban : D
Diketahui : a = 120
kg, b = 10 kg, n = 10 bln
= 1.650 kg
4. Diketahui barisan aritmetika dengan Un
adalah suku ke–n. Jika U2 + U15 + U40 =
165, maka U19= ….
A. 10 D.
55
B. 19 E.
82,5
C. 28,5
(UN 2010 P12)
Jawaban : D
U2 + U15 +
U40 = 165
(a + b) + (a + 14b) +
(a + 39b) = 165
3a + 54b =
165 (dibagi 3)
a +
18b = 55
Jadi U19 =
a + 18b = 55
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