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kobusy [5.1K]
3 years ago
7

What number is next in this sequence 1,6,11,16

Mathematics
1 answer:
Lelechka [254]3 years ago
7 0
21, because 1 +5 =6, 6+5= 11, 11+5= 16 and 16+5= 21
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6. What are the extremes of the following proportion? 3⁄15 = 12⁄60 A. 3 and 60 B. 3 and 15 C. 15 and 12 D. 12 and 60
bonufazy [111]
3 and 60 are the extremes while 15 and 12 are the means. 
4 0
3 years ago
M is directionly proptional to r squared
sergejj [24]

9514 1404 393

Answer:

  A) 504

  B) 8

Step-by-step explanation:

The statement of proportionality can be written as the equation ...

  m = kr²

Then we can find k from ...

  k = m/r² = 14/2² = 7/2

That is, ...

  m = (7/2)r²

__

Using this relation, we can find m for r=12:

  m = (7/2)·12² = 7·72

  m = 504 . . . for r = 12

__

And, we can use the same equation to solve for r when m=224.

  224 = 7/2·r²

  r² = 64

  r = √64

  r = 8 . . . for m = 224

4 0
2 years ago
How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem.
bixtya [17]

Answer:

x = 0.1515...

100 x = 15.1515...

100 x - x = 15.1515... - 0.1515...

99 x = 15

x = 15 / 99 = 3 ∙ 5 / 3 ∙ 33 = 5 / 33

0.1515... = 5 / 33

Step-by-step explanation:

3 0
2 years ago
The base of a rectangle is 15cm the perimeter is at most 94 cm. Write and solve an inequality to find the possible heights of th
tino4ka555 [31]
15 x 6 = 90 + 4 = 94 that's what I would do 
4 0
3 years ago
1.2, 3, 7.5, 18.75, ...<br><br> Which formula can be used to describe the sequence?
Nady [450]

Answer:

The formula is:

a_n=1.2(\frac{5}{2})^{n-1}

Step-by-step explanation:

The geometric sequences are those in which the division between the terms a_{n + 1} and a_n of the sequence are equal to a constant common reason called "r"

The geometrics secencias have the following form:

a_n=a_1(r)^{n-1}

Where a_1 is the first term of the sequence

In this sequence we have the following terms

1.2, 3, 7.5, 18.75

Then notice that:

\frac{3}{1.2}=\frac{5}{2}\\\\\frac{7.5}{3}=\frac{5}{2}\\\\\frac{18.75}{7.5}=\frac{5}{2}

Then:

r=\frac{5}{2}  and a_1=1.2

Finally the formula is:

a_n=1.2(\frac{5}{2})^{n-1}

5 0
3 years ago
Read 2 more answers
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