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Rudik [331]
2 years ago
7

Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n cubed minus n Over n squared + 5 n En

dFraction?
Mathematics
2 answers:
Dominik [7]2 years ago
7 0

Answer:

The answer is " The sequence converges to infinity. "

Step-by-step explanation:

Given:

\to a_n=\frac{n^3-n}{n^2+5n}

\lim_{n \to \infty} a_n= \lim_{n \to \infty} \frac{n^3-n}{n^2+5n}

                   = \lim_{n \to \infty} \frac{n(n^2-1)}{n(n+5)}\\\\= \lim_{n \to \infty} \frac{(n^2-1)}{(n+5)}\\\\= \lim_{n \to \infty} \frac{n(n-\frac{1}{n})}{n(1+\frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n-\frac{1}{n})}{(1+\frac{5}{n})}\\\\

Denominator= \lim_{n \to \infty} 1+\frac{5}{n}=1+\lim_{n\to \infty} \frac{5}{n}=1+0=1

Numerator =\lim_{n\to \infty}n-\frac{1}{n}=\infty

\therefore\\\\\lim_{n\to \infty}a_n=\frac{\infty}{1} =\infty

faltersainse [42]2 years ago
3 0

Answer:

converges to infinity

Step-by-step explanation:

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Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Daniel [21]

Answer:

getting the queen is smaller

5/8

Step-by-step explanation:

There are 4 queens in a 52 card deck

P(queen) = 4/52 = 1/13

There are 12 pairs socks, 3 of which are grey

P(grey socks) = 3/12 = 1/4

1/13 <1/4

So getting a queen is smaller

The possible outcomes

8 +0  9+0   10+0  <em> 11+0</em>

8+1    9+1 <em>    10+1    11+1</em>

8+2<em>   9+2     10+2    11+2</em>

<em>8+3   9+3     10+3    11+3</em>

There are 16 outcomes and 10 of them are after 11, (assuming we add the time to the bedtime)

P (bedtime later than 10) = 10/16 = 5/8

3 0
3 years ago
Which expression is equivalent to 3+2? 
vichka [17]

Answer:

Any expression that equals 5.

Step-by-step explanation:

3 + 2 = 5, so any expression that equals 5 is equivalent to 3+2.

8 0
3 years ago
Question 5 (1 point)
sdas [7]

Answer:

C

Step-by-step explanation:

Normal distribution has a unique characteristic of having equal mean and median values. If mean was higher than median, then the distribution would be positively skewed. Mean lower than median would appear in distributions negatively skewed. Each data set has a median value.

3 0
3 years ago
6771 divided by 44<br> Quotient:<br> Remainder:
vivado [14]

Answer:

quotient: 152 remainder: 23

Step-by-step explanation: hope that helps :)

can i get brainliest pls?

6 0
3 years ago
Here are descriptions for how two dot patterns are growing,
Arisa [49]

The steps in the patterns A and B form a sequence

The attached diagram represents dots in patterns A and B

<h3>How to draw the diagrams</h3>

For pattern A, we have:

Step 2 = 10 dots

Increment of 3 dots in each step

This means that:

Step 0 = 4 dots

Step 1 = 7 dots

Step 2 = 10 dots

Step 3 = 13 dots

For pattern A, we have the following rule

T_n =2n^2 + 1

When n = 0 to 3, we have:

T_0 =2(0)^2 + 1 =1

Step 0 = 1 dot

T_1 =2(1)^2 + 1 =3

Step 1 = 3 dots

T_2 =2(2)^2 + 1 =9

Step 2 =  9 dots

T_3 =2(3)^2 + 1 =19

Step 3 =  19 dots

Next, we draw the diagrams of both patterns (see attachment)

Read more about patterns at:

brainly.com/question/15590116

6 0
2 years ago
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