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2 years ago

What is the slope of the line in the graph?

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

7 0

The slope is 2 I checked

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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

2 years ago

What is that name of this figure

Nataliya [291]

Answer:

A square

Step-by-step explanation:

6 0

2 years ago

What prompted (caused) Gandhi to begin a campaign of passive resistance in South Africa?

Firlakuza [10]

Answer:

Asiatic Registration Bill of 1906.

Step-by-step explanation:

The first passive resistance campaign was started in Johannesburg in 1907 with, and for, the wealthy South African Indian merchants whom he had so long represented.’ Gandhi’s first passive resistance campaign began as a protest against the Asiatic Registration Bill of 1906.

5 0

2 years ago

leda bakes 73 cupcakes and accidentally drop 5 of them. she divided them equally into 13 containers for a bake sale for the scho

Vadim26 [7]

If she dropped 5 out of 73 . The answer would be 68 . Or are you asking how many are in the container

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2 years ago

What is the remainder when you find 298 - 3?

bulgar [2K]

Answer:

295

Step-by-step explanation:

7 0

2 years ago