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amm1812
2 years ago
5

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

Mathematics
2 answers:
Paha777 [63]2 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]2 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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Which is greater pls help 108.505 108.5? pls help!!
Citrus2011 [14]

Answer:

108.505

Step-by-step explanation:

Let's talk money for just a second. Which would you rather have 20 dollars or 20.32      20dollars and 32 cents?

Isn't 20.32 bigger than 20.

You should say yes.

If that is true, then 108.505 should be larger than 108.5 not by much, but still larger.

4 0
3 years ago
Which expression is equivalent to:<br> 5x2 - 10x - 7+ 5x2 + 8?
LenaWriter [7]

Answer:

Step-by-step explanation:

5x² -  10x - 7 + 5x² + 8 = 5x² + 5x² -10x - 7 + 8

                                    = 10x² - 10x + 1

Bring like terms together and add/ subtract the like terms

4 0
2 years ago
COS (377= 32
Elanso [62]
The answer is c because the remaining number would be 10
4 0
3 years ago
4x(x + 3) +7x = what is the answer please
wel
4x^2+12x+7x
4x^2+19x

Was it meant to equal something or are you just simplifying the equation?
5 0
3 years ago
Read 2 more answers
Nick walked 1 mile in nine minutes there are 5280 feet in a mile about how many feet did he walk a minute
Elodia [21]
Hello!

All you have to do it divide 5280 ft by 9 min  to find ft/min:

5280 / 9 = 506.67 ft/min

I hope this helps :))
3 0
2 years ago
Read 2 more answers
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