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Lera25 [3.4K]
2 years ago
10

Find the EQUATION of the line through (-10,-12) and (-15,3). Use the form y=mx+b.​

Mathematics
1 answer:
vovikov84 [41]2 years ago
8 0
Y=Mx+b

Y=-3x-42

Please mark brainliest. Thank you
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Find the generating function for the sequence 1,-2,4,-8, 16, ...
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Answer:

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Step-by-step explanation:

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

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This can be rearranged to ...

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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)

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