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2 years ago

Write an explicit formula for an the nth term of the sequence 75,15,3,...

Mathematics

2 answers:

lbvjy [14]2 years ago

7 0

Answer:

75(1/5)^n-1

Step-by-step explanation:

I just did it.

Usimov [2.4K]2 years ago

3 0

Step-by-step explanation:

it is geometric

so we will use this equation:

a(n)=a1*(r)^(n-1)

and we have a(1)=75 , r=15/75=3/15=1/3

explicit formula: a(n)=75*(1/3)^(n-1)

hope this helps

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Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

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Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

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2 years ago

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Kaylis [27]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

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