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Sigma

Total questions: 10

Worksheet time: 18mins

Name
Class
Date
1.

 k=16(3k)\sum_{k=1}^6\left(3-k\right)  = ...

a)

1 + 0 + -1 + -2 + -3 

b)

2 + 1 + 0 + -1 + -2

c)

3 + 2 + 1 + 0 + -1

d)

1 + 0 + -1 + -2 + -3 + -4

e)

2 + 1 + 0 + -1 + -2 + -3

2.

Hasil dari bentuk  r = 2123 \sum_{r\ =\ 2}^{12}3\   = ...

a)

24

b)

27

c)

30

d)

33

e)

36

3.

1 + 3 + 5 + 7 + 9 + 11 + 13 =

a)

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

b)

x=08(2x + 1)\sum_{x=0}^8\left(2x\ +\ 1\right)

c)

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

d)

x=07(2x + 1)\sum_{x=0}^7\left(2x\ +\ 1\right)

e)

x=16(2x +1)\sum_{x=-1}^6\left(2x\ +1\right)

4.

 i=10193(i 1) =\sum_{i=10}^{19}3\left(i\ -1\right)\ =   i=10193(i 1) =\sum_{i=10}^{19}3\left(i\ -1\right)\ = ...

a)

401

b)

402

c)

403

d)

404

e)

405

5.

 m=513(m4)=...\sum_{m=5}^{13}\left(m-4\right)=...  

a)

 m=08(m4)\sum_{m=0}^8\left(m-4\right)  

b)

 m=210(m4)\sum_{m=2}^{10}\left(m-4\right)  

c)

 m=08(m+4)\sum_{m=0}^8\left(m+4\right)  

d)

 m=19m\sum_{m=1}^9m  

e)

 m=08m\sum_{m=0}^8m  

6.
Is this summation finite or infinite?
a)
Finite, because there are only 6 terms to add up.
b)
Infinite, because there are an infinite number of terms to add up.
7.
Is this sum finite or infinite?
a)
Finite, because there are 4 terms to add up.
b)
Infinite, because there are an infinite amount of terms to add up (m goes from 1 to infinity).
8.

Determine the sum of the series written in Sigma Notation.

a)

45

b)

47

c)

48

d)

49

e)

90

9.

Write 1 + 2 + 3 + ... + 10


using sigma notation

a)

d=19d\sum_{d=1}^9d

b)

d=110d+1\sum_{d=1}^{10}d+1

c)

d=110d\sum_{d=1}^{10}d

10.

 Evaluate:  i=12i+2iEvaluate:\ \ \sum_{i=1}^2\frac{i+2}{i}  

a)

2

b)

3

c)

4

d)

5

e)

6