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Notasi Sigma

Total questions: 10

Worksheet time: 27mins

Name
Class
Date
1.

Jumlah yang tepat dari notasi sigma

a)

10

b)

20

c)

30

d)

40

e)

50

2.

Notasi sigma yang tepat untuk menyatakan deret berberikut adalah...

1 + 3 + 5 + 7 + ... + 15 = ...

a)

n=16(2n1)\sum_{n=1}^6\left(2n-1\right)

b)

n=17(2n1)\sum_{n=1}^7\left(2n-1\right)

c)

n=18(2n1)\sum_{n=1}^8\left(2n-1\right)

d)

n=17(2n+1)\sum_{n=1}^7\left(2n+1\right)

e)

n=18(2n+1)\sum_{n=1}^8\left(2n+1\right)

3.

Jika  x1x_1 = 6,  x2x_2 = 8,  x3x_3 = 10,  x4x_4 = 12, maka i=142xi = ...\sum_{i=1}^42x_i\ =\ ...  

a)

36

b)

72

c)

144

d)

160

e)

210

4.

5. 13 + 23+33+43+...+1031^{3\ }+\ 2^3+3^3+4^3+...+10^3  dapat ditulis  sebagai ...

a)

 n=05n3\sum_{n=0}^5n^3  

b)

 n=110n3\sum_{n=1}^{10}n^3  

c)

 n=1n103\sum_{n=1}^n10^3  

d)

 n=1310n\sum_{n=1}^310^n  

e)

 n=110(1 +n)3\sum_{n=1}^{10}\left(1\ +n\right)^3  

5.

 n=110(3n + 5)= ...\sum_{n=1}^{10}\left(3n\ +\ 5\right)=\ ...  

a)

205

b)

215

c)

225

d)

235

e)

245

6.

 k=11003n2=....\sum_{k=1}^{100}3n^2=....  

a)

 3k=1100n23\sum_{k=1}^{100}n^2  

b)

 3k=1100(n+n)3\sum_{k=1}^{100}(n+n)  

c)

 k=11003(n+n)\sum_{k=1}^{100}3(n+n)  

d)

 k=1100(n+n+n)\sum_{k=1}^{100}(n+n+n)  

e)

 n2k=11003n^2\sum_{k=1}^{100}3  

7.

 12+14+16+...+120=...\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{20}=...  

a)

 n=11012n\sum_{n=1}^{10}\frac{1}{2n}  

b)

 n=1191n+1\sum_{n=1}^{19}\frac{1}{n+1}  

c)

 n=11012n\sum_{n=1}^{10}\frac{1}{2^n}  

d)

 n=12012n\sum_{n=1}^{20}\frac{1}{2n}  

e)

 n=1201n+1\sum_{n=1}^{20}\frac{1}{n+1}  

8.

 i=26((i4)25i)=\sum_{i=2}^6\left(\left(i-4\right)^2-5i\right)=\cdots  

a)

-90

b)

-80

c)

-70

d)

-60

e)

-50

9.

 n=15n(n+1)(n+2)3=...\sum_{n=1}^5\frac{n\left(n+1\right)\left(n+2\right)}{3}=...  

a)

100

b)

110

c)

120

d)

130

e)

140

10.

 Nilai dari 110(3n+5)=Nilai\ dari\ \sum_1^{10}\left(3n+5\right)=  

a)

 180180  

b)

 195195  

c)

 215215  

d)

 240240  

e)

 253253