AnswersPrecalculusSummation Notation

Summation Notation Answers

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1
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Which of the following is the result of expanding ?

Question illustration
A
8.5
B
15.5
C
32
D
60
2
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Wyatt claims that is equivalent to . Which statement about his claim is true in every aspect?

Question illustration
A
true, because (Wyatt used properties of exponents to simplify the expression.)
Option A
B
true, because the gives 9 and will cause the signs to alternate (Wyatt knows that negative exponents alternate the signs.)
Option B
C
false, because a base of and 9 cannot be combined into a single base for a power (It does not matter that Wyatt dropped the negative.)
Option C
D
false, because when combined in this manner, the alternating signs of the series are lost (Wyatt ignored the negative in the first factor.)
3

Which of the following is the correct expanded form for the series below?

Question illustration
A
0 + 1 + 4 + 9 + 3
B
(0 + 3) +(1 + 3) + (4 + 3) + (9 + 3)
C
1 + 3 + 9 + 27 + 3
D
(0 +3) + (2 + 3) + (4 + 3) + (6 + 3)
4

Which of the following is the correct expanded form for the series below?

Question illustration
A
mc001-2.jpg
Option A
B
mc001-3.jpg
Option B
C
mc001-4.jpg
Option C
D
mc001-5.jpg
Option D
5

Which summation formula represents the series below?5 + 7 + 9 + 11

A
mc007-1.jpg
Option A
B
mc007-2.jpg
Option B
C
mc007-3.jpg
Option C
D
mc007-4.jpg
Option D
6

Food costs are expected to rise 6% each month for the next year. Which series correctly depicts the cost (to the nearest cent) for the next three months if the current cost is $150 per month?

A
$150.00 + $159.00 + $168.00
B
$150.00 + $159.00 + $168.54
C
$159.00 + $168.00 + $177.00
D
$159.00 + $168.54 + $178.65
7

Which of the following is the correct expanded form for the series below?

Question illustration
A
mc003-2.jpg
Option A
B
mc003-3.jpg
Option B
C
mc003-4.jpg
Option C
D
mc003-5.jpg
Option D
8

Which of the following is the result of expanding ?

Question illustration
A
4
B
8
C
17
D
18
9

Which of the following is the result of expanding the series ?

Question illustration
A
12
B
22
C
6x + 8
D
6x + 12
10

What is the value of ?

Question illustration
A
7.5
B
17.5
C
60.5
D
76.5
11

Which summation formula represents the series below?12 – 24 + 48 – 96

A
mc009-1.jpg
Option A
B
mc009-2.jpg
Option B
C
mc009-3.jpg
Option C
D
mc009-4.jpg
Option D
12

Which of the following is the correct expanded form for the series below?

Question illustration
A
mc006-2.jpg
Option A
B
mc006-3.jpg
Option B
C
mc006-4.jpg
Option C
D
mc006-5.jpg
Option D
13

What is the difference between and ?

Question illustration
A
0
B
3
C
4
D
7
14

Which of the following is the correct expanded form for the series below?

Question illustration
A
–1 – 2 – 4 – 8 – 16
B
1 – 2 + 4 – 8 + 16
C
–2 – 4 – 8 – 16
D
–2 + 4 – 8 + 16
15

Derrick’s parents are finalizing a budget for his college expenses. His first year of college will cost $8,000, and his expenses will increase by 12% each year. Which statement is correct regarding the amount they should budget for Derrick’s four-year college education, to the nearest dollar?

A
They should use to find that $38,235 is needed.
Option A
B
They should use to find that $42,823 is needed.
Option B
C
They should use to find that $32,072 is needed.
Option C
D
They should use to find that $39,200 is needed.
Option D

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