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3 years ago

The first and third terms in the following Fibonacci sequence are x and y.

Mathematics

1 answer:

Dahasolnce [82]3 years ago

8 0

Answer:

<h3>The second term of the sequence is y-x</h3><h3>The fourth term of the sequence is 2y-x</h3><h3>The fifth term of the sequence is 3y-x</h3>

Step-by-step explanation:

The next term of a Fibonacci sequence is generated by taking the sum of the 2 preceding value of the sequence. Given the the first and third term of a Fibonacci sequence to be x and y

x, _, y...

let the second term be a, fourth term be b and fifth term be c to have the sequence;

x, a, y, b, c...

According to the definition;

x+a = y... 1

a+y = b... 2 and;

y+b = c... 3

From equation 1, a = y-x

Substituting a = y-x into equation 2 to get b we have;

(y-x)+y = b

2y-x = b

b = 2y-x

Substituting b = 2y-x into equation 3 to get 'c'

y + 2y-x = c

3y-x = c

c = 3y-x

The second term of the sequence is y-x

The fourth term of the sequence is 2y-x

The fifth term of the sequence is 3y-x

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What are the solutions to log (x² + 8) = 1 +logo(x)?

kherson [118]

Answer:

x = 9.125 and 0.875

Step-by-step explanation:

Given the expression

log (x² + 8) = 1 +log(x)?

This can also be written as;

log (x² + 8) = log 10 +logo(x)

log (x² + 8) = log(10x)

(x² + 8) = (10x)

x² -10x + 8 = 0

Factorize;

x = 10±√(-10)²-4(8)/2

x = 10±√100-32/2

x = 10±√68/2

x = 10±8.25/2

x = 10+8.25/2 and 10-8.25/2

x = 18.25/2 and 1.75/2

x = 9.125 and 0.875

4 0

3 years ago

Plz help I will give brainliest

arsen [322]

Answer:

#8. M = -8/9

#9. M = 3/5

6 0

2 years ago

Find the Solution of the system of equations.<br><br> -4x+3y=-21<br> -2x-3y=3

LUCKY_DIMON [66]

Answer:

(3, - 3)

Step-by-step explanation: that might be it

8 0

2 years ago

Solve the value for v.

NemiM [27]

Answer:

Hey mate !!

Your answer is so simple :)

Go through the explanation to understand.

Step-by-step explanation:

In the given question,

We see that 105° and it's adjacent angle (i.e. 8v+3° ) forms a supplementary angle. Which means the sum of 8v+3°+105° is 180°

<h3>Therefore,</h3>

According to the question

$105 + 8v + 3 = 180$

$= > 105 + 8v = 180 - 3$

$= > 8v = 177 - 105$

$= > 8v = 72$

$= > v = \frac{72}{8}$

$= > v = 9$

Answer the value of v is 9° .

Hope it helps you!!

#IndianMurga ツ

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2 years ago

The sides of a triangle measure 3√6 2√24 7√54 what is the perimeter of the triangle

Sliva [168]

Answer:

Step-by-step explanation:

3*√6 + 2√24 + 7√54= P

3√6 + 2√2*2*6 + 7√3*3*6

3√6 + 2*2√6+7*3√6

3√6 + 4√6 + 21√6

28√6 = the perimeter.

7 0

3 years ago