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Lyrx [107]
2 years ago
9

Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81

Mathematics
2 answers:
Norma-Jean [14]2 years ago
8 0

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

Lynna [10]2 years ago
3 0

Answer:

Converge

Step-by-step explanation:

The value of r in this infinite series is 2/3.

If the absolute value of r is less than 1, then the infinite series converges.

Since 2/3 is less than 1, the series must converge.

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3 years ago
Solve the system of equations.<br> 7y + 10.x = -11<br> 4y - 3x = -15
Sidana [21]

Answer:

x= 1

y= -3

Step-by-step explanation:

multiply them to get common factor for y or x:

3(7y+10x=-11)

10(4y-3x=-15)

21y+30x=-33

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7 0
3 years ago
The girls on the run is 3 miles long. jenna has run 3/5 of the race. how far has she run?
vlabodo [156]
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4 0
3 years ago
Read 2 more answers
Which ordered pair is in the solution set of the system of linear inequalities? y &gt;3/2 x – 1 y &lt;3/2 x – 1 (–5, 2) (2, 2) (
Vikentia [17]

Answer:

No solution

Option 4 is correct

Step-by-step explanation:

Given: The system of inequality

y>\dfrac{3}{2}x-1

y

We need to choose correct option.

Option 1: (-5,2)

Put x=-5 and y=2

Equation 1                               Equation 2

2>\dfrac{3}{2}(-5)-1                            2

2>-8.5                                    2

    TRUE                                     FALSE

Option 2: (2,2)

Put x=2 and y=2

Equation 1                              Equation 2

2>\dfrac{3}{2}(2)-1                    2

2>2                                           2

  FALSE                                      FALSE

Option 3: (5,2)

Put x=-5 and y=2

Equation 1                            Equation 2

2>\dfrac{3}{2}(5)-1                      2

2>6.5                                           2

 FALSE                                      TRUE

Option 1, 2 and 3 are incorrect because both equation must be true for solution.

Hence, Option 4 is correct no solution.  

6 0
3 years ago
Read 2 more answers
A function g is defined by g:x→3−2sinx,for 0◦ ≤x≤A◦,where A is a constant.
Crank
<span>hmmm: g maps x onto 3-2sin(x) for all x from 0 to A degrees g(x) = 3-2sin(x) the inverse would have to be arcsin (3-x)/2, which only has a radian output between -pi and pi i believe. but this is just from memory</span>
6 0
3 years ago
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