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3 years ago

Find the limit of the sequence described by the general expression 5n+ (-1) n /n^2

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

Answer:

b. 0

Step-by-step explanation:

The expression can be rewritten as:

$A_{n} = \frac{5\cdot n}{n^{2}} + \frac{(-1)^{n}}{n^{2}}$

As n becomes greater and begins diverging to infinity, each component of the sum converges to zero. Then, the limit of the sequence is zero.

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Explain how you can use the triangle sum theorem to find the measures of the angles of an equilateral triangle

Rudiy27

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3 years ago

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brilliants [131]

Answer: -14

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2 years ago

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vovangra [49]

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Step-by-step explanation:

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3 years ago

Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy se

Anna11 [10]

Answer:

$1170

Step-by-step explanation:

Let the sells for economy seats be =x

Let the sells for deluxe seats be=y

The inequalities that can be obtained are;

x≥1 --------------------at least 1 economy seats

y≥6 --------------------at least 6 deluxe seats

x+y=30-----------------maximum number of passengers allowed on each boat

Graph the inequalities

Use the graph tool to locate the point of maximum profit.The intersecting point for the three graphs

The point is (24,6)

Hence, x=24 and y=6

Profit for each

Economy seats 24×$40=$960

Deluxe seats 6×$35=$210

Maximum profit for one tour

$960+$210=$1170

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3 years ago

Who can help and explain these 2 questions

Dominik [7]

Coefficients are added together because they are like terms, this can be proven with the distributive property. For example, x(2x+x)=2x^2+x^2=3x^2.

The commutative property of addition and the associative property demonstrate this.

The word "commutative" comes from "commute" or "move around", so the Commutative Property<span> is the one that refers to moving values around.
</span>
The associative property<span> states that you can add or multiply regardless of how the numbers are grouped. </span>

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3 years ago