Homework Set 2
NAME:
Jamal Nadeem
1.
Express the given sum using summation notation. Have the expression follow the equal sign.
=
⋅
+
⋅
+
⋅
+
⋅
+
⋅
+

⋅
2
2
2
2
2
2
4
3
3
3
2
3
1
3
0
3
)
1
(
3
∑
=
•
4
1
2
3
i
i
2.
Express the given sum using summation notation.
=
+
+
+
+
)
(
)
(
)
(
)
(
)
(
5
5
4
4
3
3
2
2
1
1
x
f
x
x
f
x
x
f
x
x
f
x
x
f
x
∑
=
s
i
i
i
x
f
x
1
)
(
3.
Express the given sum using summation notation.
=
+
+
+
+
2
2
2
2
100
1
3
1
2
1
1
1
∑
=
1000
1
2
1
i
i
4.
Expand the following expression written in summation notation.
Do not attempt to evaluate the sum!
∑
=
=
5
1
)
(
i
i
i
x
f
x
)
(
)
(
)
(
)
(
)
(
5
5
4
4
3
3
2
2
1
1
x
f
x
x
f
x
x
f
x
x
f
x
x
f
x
+
+
+
+
5.
Expand the following expression written in summation notation.
Do not attempt to evaluate!
∑
=
=
5
1
2
i
i
2
2
2
2
2
5
4
3
2
1
+
+
+
+
6.
Create an
Excel
worksheet to evaluate the sum
∑

=
30
7
2
n
i
.
Here
2
)
(
i
i
a
a
i
=
=
. For sum: start value = 7, stop value = 30.
7
49
6
36
5
25
4
16
3
9
2
4
1
1
0
0
1
1
2
4
3
9
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4
16
5
25
6
36
7
49
8
64
9
81
10
100
11
121
12
144
13
169
14
196
15
225
16
256
17
289
18
324
19
361
20
400
21
441
22
484
23
529
24
576
25
625
26
676
27
729
28
784
29
841
30
900
Total:
9595
7.
Create an
Excel
worksheet to evaluate the sum
∑

=
+
100
9
2
1
1
n
i
.
Here
1
1
)
(
2
+
=
=
i
i
a
a
i
. For sum: start value = 9, stop value = 100.
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 Fall '07
 Smith
 Addition, Probability theory, Summation

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