3 years ago

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME I DO ANYTHING JUST HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ ALSO SHOW YOUR WORK

Mathematics

1 answer:

dexar [7]3 years ago

7 0

Answer:

yeah its A

Step-by-step explanation:

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

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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).

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

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

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

then the sequence solves the recurrence relation.

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3 years ago

The radius of a basketball is about 13 centimeters.<br> What is the volume of the basketball?

e-lub [12.9K]

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Explanation;

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How to solve the exponential equation for 3^k2 • 3^-k+2 = 81

wariber [46]

Answer:

k=2

Step-by-step explanation:

3^k*2 * 3^-k+2 = 81

Factor out 81 to be : 3^4

Rewrite the equation:

k*2 - k+2 = 4

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Simplify : k+2 = 4

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Step-by-step explanation:

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A coordinate plane with a straight line with a negative slope, with endpoints at, (0, 9) and (9, 0) The slope of the graph is –1

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D .candle burns down 1 cm per hour

Step-by-step explanation:

this is the answer i just got it rigth

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3 years ago

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