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Vsevolod [243]
3 years ago
15

The first three terms of a Fibonacci sequence are n 3n 4n find the sixth term I FB the sequence

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

Answer:

<h2>18n</h2>

Step-by-step explanation:

In the Fibonacci sequence In mathematics, the Fibonacci numbers, commonly denoted Fn, form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1.

Given data

First term= n

second term = 3n

third term = 4n

According to Fibonacci sequence the fourth term is

F4= F2 + F3\\F4=3n+ 4n= 7n

the Fifth term is

F5= f3 + f4\\f5= 4n+7n= 11n

hence  the sixth term is

F6= F4+F5\\   F6= 7n+11n= 18n

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A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a p
Arisa [49]

Answer:

68% of the sample can be expected to fall between 28 and 32 cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 30

Standard deviation = 2

What proportion of the sample can be expected to fall between 28 and 32 cm

28 = 30-2

28 is one standard deviation below the mean

32 = 30 + 2

32 is one standard deviation above the mean

By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm

7 0
3 years ago
Find the sum of the first six terms of the sequence.<br><br><br> S6 = ⇒ 84
k0ka [10]

Answer:

Explained below.

Step-by-step explanation:

Consider the series is a set of first 6 natural numbers.

Sum of first <em>n</em> terms is:

\text{Sum of n terms}=\frac{n(n+1)}{2}

\text{Sum of first 6 terms}=\frac{6(6+1)}{2}

                               =3\times7\\=21

Consider the series is an arithmetic sequence.

Sum of first <em>n</em> terms is:

S_{n}=\frac{n}{2} [2a+(n-1)d]

Here<em>,</em>

<em>a</em> = first term

<em>d</em> = common difference

Consider the series is an geometric sequence.

Sum of first <em>n</em> terms is:

S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}

Here<em>,</em>

<em>a₁</em> = first term

<em>r</em> = common ratio

7 0
3 years ago
Two rectangular sandwiches lie on a plate (the top view is shown). Can they be cut with just one straight cut into two equal par
Mila [183]

Answer: NO

Step-by-step explanation: The sandwiches are at different angles, so you would need two different cuts to make two equal parts each.

3 0
3 years ago
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Sladkaya [172]

roots has a solution just press s-d


5 0
3 years ago
Read 2 more answers
Colton has n nickels and d dimes. He has no more
pantera1 [17]

Answer:

(`n*0.05)+(d*0.10)<2

Step-by-step explanation:

5 0
3 years ago
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