Paket soal latihan 2
Notasi sigma
Matematika
SMA
b
a k
k b
a k
k k b
a k
k b
a k
v k a
a k
k
b
a k
k p
a k
b
p k
k k
b
a k
p b
p a k
p k b
a k
k
b
a k
k b
a k
k
b
a k
b
a k
k k
b
a k
k k
n n
k k
V V
U U
U U U
U U
U
c a b c
U U
U c U c
V U
V U
U U
U U U
2 2
2 1
1
3 2 1 1
. 2 0
1 . .
...
I. Buktikan :
1.
k
k n k nk n
k n
k
49 28
4 7 2
1 1
2
1
2
2.
1321 8821 21
1 2 28
2
2
k k
k
k k
k k
3.
12
1 2 12
1
2 15
4
2 13 3 7 42 63
8
k k
k
k k
k k
4.
3
1 6
1
15 10 5
i i
i i
5.
4 7
2 4
4 15
431 9
1
n
n
n n
6.
10
1 2 20
1
2 1 3 30 151
3
n n
n n
n
7.
8
5 8
1
22 10 1
5
k k
II. Sederhanakan menjadi notasi sigma yang diminta.
1.
6
1 6
1 6
1
2 ;
5
k k
k
k k
2.
4
1 4
1 4
1
2 2 2 ;
k k
k
k k
3.
7
1 10
4 7
1
2 8 5 ;
n n
n
n n
4.
10
1 2
1 4
1
; 14
8 2
n n
n
n n
5.
11
1 15
5
; 4
n n
n
6.
11
1 15
5
2 ;
5 2
k k