AnswersPrecalculusSummation Notation

Summation Notation Answers

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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 result of expanding ?

Question illustration
A
4
B
8
C
17
D
18
4

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

Question illustration
A
12
B
22
C
6x + 8
D
6x + 12
5

Which summation formula represents the series below?1 + 2 + 6 + 24

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

What is the difference between and ?

Question illustration
A
0
B
3
C
4
D
7
7

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

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
10

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

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