The pattern here is the number times 3 then plus 1
We can check this by plugging it in.
1×3=3
3+1=4
4 is the next number in our sequence so the pattern works.
We can continue to check this with the rest of our sequence.
4×3=12
12+1=13
13 is the next number in our sequence so the pattern works.
13×3=39
39+1=40
40 is the next number in our sequence so the pattern works.
40×3=120
120+1=121
121 is the next number in our sequence so the pattern works.
We can find the next numbed in the sequence by continuing the patter
121×3=363
363+1=364
So the next number in the sequence is 364
-100
15
-4
79.5
15
24.9
174
65.9
50.9
Answer:
5.49430941
Step-by-step explanation:
Multiply together.
<em>i hope this helps, good luck :)</em>
I think the possible way that the percentage vote of a country is different to the next random sampling to the other data table is its population in each country. In the first table i think Malta has the edge to this table data and place in number 1 but to the other data table the country was left of.
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.
So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))
now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16
Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84
So we have our linear approximation for the two.
If you wanted to, you could check your answer by finding g(x). Since you know g'(x), take the antiderivative and we will get
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35
So just to check our linear approximations use that to find g(2.99) and g(3.01)
g(2.99) = -5.1597
g(3.01) = -4.8397
So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer. Not a bad method if you ever need to use it.
