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3 years ago

C&A Help Desk received the following requests during the last five weeks:

Mathematics

1 answer:

Nana76 [90]3 years ago

4 0

The answer would be 21 weeks, the either go up or go down

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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).

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

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

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

then the sequence solves the recurrence relation.

4 0

3 years ago

I am having trouble with helping a friend on math and the question is

Archy [21]

In simplest form it should be 5/7

6 0

3 years ago

Help on algebra II pls asap

timama [110]

Because the inequality is less then or equal two the lines need to be solid, not dotted.

Also the less than would put the solution to the outside of the lines.

The correct graph is Stan.

Answer: the incorrect graph is Lee because he used dotted lines and has the solution on the wrong side of the lines

6 0

3 years ago

There are 375 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?

Natalka [10]

125? Girls
Are
In
The
Senior class

4 0

3 years ago

Read 2 more answers

Subtract 1 + ( - 1 ) - ( - 3 ). Hint: Add the first two numbers, then subtract the -3 from the result of that addition

kykrilka [37]

Answer:

Add 3. Double that. Subtract 4. Cut that in half. Subtract your original number. Your result is 1!

Step-by-step explanation:

I'm guessing, Hope its right.

7 0

3 years ago