Answer:

Step-by-step explanation:
The generating function a(x) produces a power series ...

where the coefficients are the elements of the given sequence.
We observe that the given sequence has the recurrence relation ...

This can be rearranged to ...

We can formulate this in terms of a(x) as follows, then solve for a(x).

The generating function is ...
a(x) = 1/(1+2x)
Answer:
the second one
Step-by-step explanation:
The remainder of the given expression will be 66.
<h3>What is division?</h3>
Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic.
The given polynomlal x⁴+3x³-6x²-12x-8 will be divided by x-3 so we need to find the remainder:-
x-3) x⁴+3x³-6x²-12x-8 ( x³-6x²+12x+24
x²-3x³
_______________
6x³-6x²-12x-8
6x³-18x²
________________________
12x²-12x-8
-12x²-36x
_____________________
24x-8
24x-72
_______________________
66
Hence the remainder of the given expression will be 66.
To know more about division follow
brainly.com/question/25289437
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Answer : 32.5 g of sugar
Step-by-step explanation:
1 1/4 cup = (4+1)/4 = 5/4 cup
If 1/2 cup contains 13 g of sugar
Then 5/4 cup contains C g of sugar
C = 5/4 * 13g➗1/2 = 5*13*2g➗4 = 130g➗4 = 32.5 g of sugar
Answer : 32.5 g of sugar
<h2><em>Spymore</em></h2>
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