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3 years ago

What is the common ratio of the Fibonacci sequence called

Mathematics

1 answer:

Alexandra [31]3 years ago

7 0

Answer:

1.618

The Fibonacci sequence is significant because of the so-called golden ratio of 1.618, or its inverse 0.618. In the Fibonacci sequence, any given number is approximately 1.618 times the preceding number, ignoring the first few numbers.

Step-by-step explanation:

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Consider the following argument. If there are as many rational numbers as there are irrational numbers, then the set of all irra

FrozenT [24]

Answer:

b. form: p → q invalid, converse error q ∴ p

Step-by-step explanation:

Let

p = "there are as many rational numbers as there are irrational numbers,"

let

q = "the set of all irrational numbers is infinite."

We can write the above argument as:

If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite

p → q

The set of all irrational numbers is infinite

There are as many rational numbers as there are irrational numbers

So collectively it can be written as:

p → q

∴p

So it looks like

if p then q

therefore p

This is a fallacious argument. This means the conclusion can be false even when the premises are true. This type of argument is invalid.

Suppose we know that “If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite” is a true conditional statement. We also know that "the set of all irrational numbers is infinite" is true. This is not enough to say that "there are as many rational numbers as there are irrational numbers," is true. The reason for this is that there is nothing logically about “If p then q” and “q” that means p must follow. So this is a converse error and since converse error is an invalid method of inference rule so this argument is invalid.

Let us prove this argument is invalid with a truth table:

p q p → q q p

T T T T T

T F F F T

F T T T F

F F T F F

Since we know that the premises are:

p → q and q

and the conclusion is p

and an argument is valid if and only if all of its premises are true, then the conclusion is true. We should check that whenever both p → q and q are true then p is true but the third row fails. Thus this is an invalid argument.

6 0

3 years ago

mrs. Cleaver mix is 1.24 liters of red paint with three times as much blue paint to make purple paint. She put the paint equally

Jet001 [13]

When it says in each cup, I'mg guessing it means containers... so I'll go with that! If you need 3 times as much blue for red to make purple then:

1.24 liters × 3 = 3.72 liters of blue paint per container.

If I am wrong, please go from there with the blue per container. I hope this helped!

5 0

3 years ago

X=-7+21<br> 2y-6x=6<br> need help with Substitution

Reika [66]

Answer:

x = 14 y = -3x + 3

Step-by-step explanation:

3 0

3 years ago

The Tampa Times polled 1,457 adults in the city to determine whether they put on their shirt before they put on their pants. Of

Morgarella [4.7K]

Answer:

The mean is 0.32 and the standard deviation is 0.0122.

Step-by-step explanation:

Given that the Tampa Times polled 1,457 adults in the city to determine whether they put on their shirt before they put on their pants.

Of the respondents, 48% said they put their shirt on first.

32% of all adults actually put their shirt on first

i.e. sample proportion is 48% while population proportion is 32%

Hence sampling distribution follows a distribution with mean = population proportion p

Hence here mean = 0.32

Std deviation of sampling distribution = $\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.32(0.68)}{1457} } \\=0.0122$

Hence option 3) The mean is 0.32 and the standard deviation is 0.0122.

is right

3 0

3 years ago

The graph of a quadratic function having the form f(x) = ax? + bx + c passes

insens350 [35]

Answer:

f(-3) = -20

Step-by-step explanation:

We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...

34, 10, -8, ?

The first differences of these numbers are ...

10 -34 = -24

-8 -10 = -18

And the second difference is ...

-18 -(-24) = 6

For a quadratic function, second differences are constant. This means the next first-difference will be ...

? -(-8) = -18 +6

? = -12 -8 = -20

The value of the function at x=-3 is -20.

_____

The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)

5 0

3 years ago