3 years ago

_11] If the radius of a circle is 5, what is the circumference?

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

8 0

Answer:

Step-by-step explanation:

A circle with a radius of 5 units has a circumference of 31.416 units.

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Answer:

Step-by-step explanation:

When dividing by a fraction flip it over and multiply

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Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

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allochka39001 [22]

Answer:

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Step-by-step explanation:

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