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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

You might be interested in
Geometry
trapecia [35]

Answer:

EF = 8

Step-by-step explanation:

The following data were obtained from the question:

EF = 2x

FG = 8

EG = 4x

EF =?

To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:

EG = EF + FG

EF = 2x

FG = 8

EG = 4x

4x = 2x + 8

Collect like terms

4x – 2x = 8

2x = 8

Divide both side by 2

x = 8/2

x = 4

Therefore, the value of x is 4.

Finally, we shall determine the the value of EF as follow:

EF = 2x

x = 4

EF = 2x

EF = 2(4)

EF = 8

**** Check ****

EG = EF + FG

EF = 2x

EG = 4x

FG = 8

4x = 2x + 8

x = 4

4(4) = 2(4) + 8

16 = 8 + 8

16 = 16

4 0
3 years ago
Help on this one as well ii manged to get an answer but If you understand it or im wrong an you please explain ! thank you !!
AnnZ [28]
Almost got it!

x + 3 = 3(y + 2)/2 [Multiplied both sides by 3]
so x + 3 = (3y + 6)/2
2(x + 3) = 3y + 6 [Multiplied both sides by 2]
2x + 6 = 3y + 6
2x = 3y [Subtracted 6 from both sides]
x = 3y/2 [Divided both sides by 2]
x/3 = y/2 [Divided both sides by 3]

So you wrote y/3 instead of y/2 
Hope this helped!
8 0
3 years ago
Read 2 more answers
You roll a fair 6-sided die what is p (not 3)
Ulleksa [173]
As a fraction, the exact answer is 5/6
In decimal form, the approximate answer is 0.8333

To get this answer, note how there are 5 ways to roll something that isn't a three (1,2,4,5,6) out of 6 ways total (1,2,3,4,5,6)

So you simply divide the two values to get 5/6 = 0.8333
8 0
4 years ago
Read 2 more answers
What is the slope of the line that passes through the pair of points (-5/3, -1) and (-2, 9/2)?
vovangra [49]
Slope = (9/2 + 1) / (-2 + 5/3)
     
      11/2
= ----------
      -1/3
= 11/2 (-3/1)
= -33/2
or
= -16.5
7 0
3 years ago
Subtitute 2x+y=7 and 3x-y=8
iogann1982 [59]

Answer:

x = 3 , y = 1

Step-by-step explanation:

2x + y = 7

3x + y = 8

solution

2x + y = 7-----------(1)

3x - y = 8------------(2)

from equation 1

2x + y = 7

y = 7 - 2x-------------(3)

substitute equation 3 into equation 2

3x - y = 8

3x - (7 - 2x) = 8

3x - 7 + 2x = 8

3x + 2x = 8 + 7

5x = 15

divide through by the coefficient of x

5x/5 = 15/5

x = 3

to find y

substitute x into equation 1

2x + y = 7

2(3) + y = 7

6 + y = 7

y = 7 - 6

y = 1

8 0
4 years ago
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