Answer:
<h3>

is the closed linear form of the given sequence.</h3>
Step-by-step explanation:
Given that
and 
<h3>To find the closed linear form for this given sequence :</h3>
So each of the successive term of the given sequence is decreases by 8
Therefore the common difference is -8
The given sequence is a arithmetic sequence.
The general form is 
Substitute
and d=-8 in
we get



<h3>Therefore

is the closed linear form of the given sequence.</h3>
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You know that f(0) = 2^0 = 1, so g(0) = -11 has been shifted down 12 units from f(x). A shift of half as much will be a shift down 6 units from f(x), or up 6 units from g(x).
In the attached, we have named the new function h(x). It is equivalent to g(x)+6. That is, you can add 6 to each of the g(x) table values to get the corresponding values for h(x).
Y = number of yellow fish
G = number of green fish
Y = G - 6
Y = 0.40 * (Y+G)
G - 6 = 0.4*(G-6+G)
G - 6 = 0.4*(2G-6)
G - 6 = 0.8G -2.4
0.2G = 3.6
G = 3.6/0.2=18
There are 18 green fish.
True. Every irrational number is included in the set of real numbers.
The irrational numbers are a subset of the real numbers.