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dolphi86 [110]
3 years ago
14

Simply the complex fraction 4/3/2/5

Mathematics
1 answer:
kati45 [8]3 years ago
5 0
4/3/2/5 = 3 1/3 hope this is what you where looking for
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What is the missing pattern 7, 11, 2, 18, -7
Alexxx [7]

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:

n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}      (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

To learn more on patterns: brainly.com/question/23136125

#SPJ1

8 0
2 years ago
Can someone plz help me with this one problem plzzzzz <br><br> (I’M MARKING BRAINLIEST)
Andre45 [30]
In order from top to bottom, 2,8,14,20
And it’s the second graph (right)
5 0
3 years ago
What is the name of an interior angle of a triangle that is not adjacent to a given exterior of the triangle
d1i1m1o1n [39]
Definition of an exterior angle

At each vertex of a triangle, an exterior angle of the triangle may be formed by extending ONE SIDE of the triangle. See picture below.

Calculating the Angles

We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

6 0
3 years ago
(05.05) Which of the following inequalities matches the graph? (1 point)​
alexira [117]

Answer:  Choice A.   x \le -7

=====================================================

Explanation:

Every point in the shaded region has an x coordinate that is equal to -7 or smaller.

Example points include

  • (-8, 0)
  • (-10, 2)
  • (-9, -5)

The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.

6 0
3 years ago
How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?
Ede4ka [16]
The formula in getting the arithmetic sequence:
an = a1<span> + (n – 1)d.
</span>
We can substitute the values in order for us to know how many terms the sequence has.

an = 7373
a1 = 1313
d = 303

an = a1<span> + (n – 1)d
</span>7373 = 1313 + (n-1) 303
7373 = 1313 + 303n - 303
-303n = 1313 - 303 - 7373
303n = -1313 + 303 + 7373
303n = 6363
n = 21

So, there are 21 terms in the sequence given.

3 0
3 years ago
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