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Fed [463]
3 years ago
7

What is the next term in the harmonic sequence 1/11,1/15,1/19,1/23,..?

Mathematics
2 answers:
frutty [35]3 years ago
7 0
The denominators are being added by 4,
11 + 4 = 15
15 + 4 = 19
19 + 4 = 23
The next number should be
23 + 4 =
1/27
kari74 [83]3 years ago
6 0
The next denominator is added by 4.

The next on the series =   1/(23 + 4) = 1/27

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2        

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A number cube is rolled twice. What is the probability of getting a 6 on the first roll,
ivann1987 [24]

Answer:

b. 1/9

Step-by-step explanation:

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3 years ago
What is the slope of the line 4x – 2y = 10? Explain your process (show your steps) for determining the slope.​
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6 0
3 years ago
Melissa has three different positive integers. she adds their reciprocals together and gets a sum of 1. what is the product of h
madreJ [45]

First let us assign the three positive integers to be x, y, and z.

From the given problem statement, we know that:

(1/x) + (1/y) + (1/z) = 1

<span>
</span>Without loss of generality we can assume x < y < z.

We know that:

 

1 = (1/3) + (1/3) + (1/3)

 

Where x = y = z = 3 would be a solution

 

<span>However this could not be true because x, y, and z must all be  different integers.  And x, y, and z cannot all be 3 or bigger than 3 because the sum would then be less than 1.  So let us say that x is a denominator that is less than 3.   So x = 2, and we have:</span>

 

(1/2) + (1/y) + (1/z) = 1

 

Therefore

 

(1/y) + (1/z) = 1/2

 

<span>We  also know that:</span>

 

(1/4) + (1/4) = (1/2)

 

<span>and y = z = 4 would be a solution, however this is also not true because y and z must also be different. And y and z cannot be larger than 4,  so y=3, therefore</span>

 

(1/2) + (1/3) + (1/z) = 1

 

Now we are left by 1 variable so we calculate for z. Multiply both sides by 6z:

3z + 2z + 6 = 6z

z = 6

 

Therefore:

 

(1/2) + (1/3) + (1/6) = 1

 

<span>so {x,y,z}={2,3,6}  </span>

<span> </span>

8 0
3 years ago
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