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amm1812
3 years ago
5

1,2,4,7,11,16,22, ___,____ What is the rule?

Mathematics
2 answers:
Paha777 [63]3 years ago
6 0
Find rates of change until you find a constant.

dy/dx=1,2,3,4,5,6

d2y/dx2=1,1,1,1,1  

So the acceleration, d2y/d2x, is constant.  This means that this is a quadratic sequence of the form a(n)=an^2+bn+c.  So we can set up a system of equations to solve for the values of a,b, and c.  Using the first three points, (1,1), (2,2), and (3,4) we have:

9a+3b+c=4, 4a+2b+c=2, and a+b+c=1  getting the differences...

5a+b=2 and 3a+b=1  and getting this difference...

2a=1, so a=1/2 making 5a+b=2 become:

2.5+b=2, so b=-1/2, making a+b+c=1 become:

1/2-1/2+c=1, so c=1  so the rule is:

a(n)=0.5x^2-0.5x+1  or if you prefer to not have decimals

a(n)=(x^2-x+2)/2
Mkey [24]3 years ago
3 0
The rule is to add each number like this 1,2,3,4,5,6,7 and so on to add to the numbers
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Its math please help me
Colt1911 [192]

Answer:

460

Step-by-step explanation:

if you look at the values you'll notice the next month is just half their value

7360 / 2 = 3680

3680 / 2 = 1840

1840 / 2 = 920

so

920 / 2 = 460 which should be month 5

7 0
2 years ago
Solve the inequality (picture)
drek231 [11]

Answer:

3rd choice

Step-by-step explanation:

Add 6 to both sides to get 5x >= 15, or x >=3. This is the 3rd choice.

8 0
3 years ago
Equivalent of (17×4)−35
Thepotemich [5.8K]
17 times 4, you get 68. 68 minus 35, your answer is 33
17*4=68
68-35=33
3 0
3 years ago
Which table has greater constant of proportionality?
marissa [1.9K]

The table with greater proportionality is table 3.

<h3>What is constant proportionality?</h3>

The constant of proportionality is the ratio between two directly proportional quantities.

As, the constant proportionality is

k= y/x

For table 1,

k = 1/1 = 2/2 =1

For table 2,

k = 6/1= 12/2 = 2

For table 3,

k = 5/1 = 10/2 = 5

For table 4,

k = 4/1 = 8/2 = 4

Hence, table 3 is with greater proportionality.

Learn more about this constant of proportionality here:

brainly.com/question/8598338

#SPJ1

8 0
2 years ago
Does this graph represent a function? Why
Sladkaya [172]
C. Yes because it passes the vertical line test
3 0
2 years ago
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