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Amiraneli [1.4K]
3 years ago
9

I'm in algebra 1 please help i'm so lost

Mathematics
2 answers:
Alex777 [14]3 years ago
3 0
1st term = n
2nd term = n+1
3rd term = n+2
4th term = n+3

The fifth term in the sequence would be n + 4.

For the fifth term in the sequence a = 3(n+4) - 2.

This should get you started.
Crank3 years ago
3 0
This means that the nth term in the sequence is equal to 3n-2. For example, if n was 7 then the term would be 3*7-2=19. This means that the fifth term would be (3*5)-2, which is 13.
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3 years ago
D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

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which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
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This means

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