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Naily [24]
3 years ago
12

Use the order of operations to simplify the following expression.

Mathematics
2 answers:
trasher [3.6K]3 years ago
4 0
I got -28, so I’m guessing it’s none of the other are are correct.
NemiM [27]3 years ago
3 0
None of the answers are correct it’s -28
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3 years ago
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
A class of 40 students visits a farm they tour the farm in group of 5 how many groups of 5 can they make?
german

Answer:

8

Step-by-step explanation:

40 grouped into 5 = 40/5 = 8

5 0
3 years ago
Read 2 more answers
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