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SVEN [57.7K]
3 years ago
8

How do I do this? Explain how you got the answer

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

All i did was divide

Step-by-step explanation:

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Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

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

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

3 0
3 years ago
Read 2 more answers
Algebraic expression for 6 notebooks at S dollars
swat32
6=S
therefore, to find one you must divide both sides by 6
the answer should be = 1=S/6
6 0
3 years ago
GIIVNG BRAINLY FOR CORRECT ANSWER
zysi [14]
The answer is 36 bc ik
6 0
3 years ago
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Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a
Degger [83]

Answer:

The total price of 4\frac{1}{2}  pounds of apples is <u>$6.48</u>.

Step-by-step explanation:

Given:

Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a 10% discount.

Now, to find the total price of 4 1/2 pounds of apples this week at the grocery store.

The price of apples at a grocery store last week was = $1.60 per pound.

This week apples at the same grocery store is on sale of 10% discount.

Thus, the price of apples at a grocery store this week is:

1.60-10\%\ of\ 1.60.

=1.60-\frac{10}{100} \times 1.60

=1.60-0.16

=\$1.44.

So, the price of apples per pound this week is $1.44.

Now, to get the total price of 4\frac{1}{2} pounds of apples by using unitary method:

If 1 pound of apples cost = 1.44.

Then, \frac{9}{2} pound of apples cost = 1.44\times \frac{9}{2}

=1.44\times 4.5

=\$6.48.

Therefore, the total price of 4\frac{1}{2}  pounds of apples is $6.48.

4 0
3 years ago
A falling object accerlates from -10.0m/s to -30.0m/s how much time does that take
Leya [2.2K]

Answer:

2.04 seconds

Step-by-step explanation:

Falling objects near the surface of the earth have an acceleration of -9.81 m/s².

Acceleration is the change in velocity over change in time:

a = (v − v₀) / t

-9.81 = (-30.0 − (-10.0)) / t

-9.81 = -20.0 / t

t = 2.04

It takes 2.04 seconds.

5 0
3 years ago
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