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2 years ago

12

The inability to remember how Lincoln's head appears on a penny, or whether the water in the sink drains clockwise or counterclo

ckwise, is most likely due to a failure in:

1 answer:

anyanavicka [17]2 years ago

4 0

Creation

There is no other way

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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

Express the location of the point on the number line as both a fraction and a decimal.

scoundrel [369]

Answer:

Fraction 1/6. Decimal .6 or 1.6

Step-by-step explanation:

3 0

3 years ago

Write the prime factorization of using exponents.

kozerog [31]

Answer: 26∗34 2 6 ∗ 3 4

Step-by-step explanation:

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3 years ago

36__3__12__6__1 = 36

KatRina [158]

Answer:

36 * 3 - 12 * 6 * 1 = 36

Step-by-step explanation:

36 * 3 - 12 * 6 * 1 = 36

3 0

3 years ago

Solve for w. 42 = 7/2w. Simplify your answer as much as possible.

SOVA2 [1]

Answer:

3

Step-by-step explanation:

7 times 2 = 14 14 times 3 equals 42 ur welcome

4 0

2 years ago

Read 2 more answers