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3 years ago

Given the two Fibonacci numbers below, which number would follow? (17) - 1597 and F(18) = 2584

Mathematics

1 answer:

Shtirlitz [24]3 years ago

7 0

Answer:

4181

Step-by-step explanation:

The Fibonacci sequence starts with 0 and 1... then all other terms are obtained by adding the two previous terms.

0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.

So, if you have any two consecutive terms from the sequence, you can easily find the next one by adding them together:

F(19) = F(17) + F(18)

F(19) = 1597 + 2584 = 4181

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10 / 5 + 10 - 9 x 11

Ugo [173]

Order of Operations:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

Step-By-Step Explanation:

1. Take 9 • 11 = 99

2. Take 10 / 2 = 5

3. Take 2 + 10 - 99 = -87

So -87 would be your final answer. Hope that helped!

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3 years ago

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lubasha [3.4K]

left = right

2.5 + x.5 = 11

10 + 5x = 11

5x = 1

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Hurry A lot of Points on the Line!

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Answer:

Step-by-step explanation:

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4 years ago

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Solve for x:−2(x+9)=−1(x+−1)+2

Stella [2.4K]

Answer:

Step-by-step explanation:

expanding the bracket, we would have

-2x -18 = -x+1+2

-2x+x= 3 +18

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3 years ago

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Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

4 0

3 years ago