All categories

3 years ago

The 18th, 19th and 20th numbers in the Fibonacci sequence are, respectively, 2584, 4181, and 6765. What is the 21st number?

Mathematics

1 answer:

nordsb [41]3 years ago

7 0

Answer:

4181 + 6765 = 10946

Step-by-step explanation:

Fibonacci Sequence: The $\textbf{n}^{\textbf{th}}$ term of a Fibonacci Sequence is given by the sum of the immediate two previous numbers.

In mathematical notation: $\textbf{x}_{\textbf{n}} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{x}_{\textbf{n - 1}} \hspace{1mm} \tetxbf{+} \hspace{1mm} \textbf{x}_{\textbf{n - 2}}$

Hence, $21^{st}$ number = $20^{th}$ number + $19^{th}$ number.

= 4181 + 6765

= 10946 which is the required answer.

You might be interested in

Scientists plan to release a space probe that will enter the atmosphere of a gaseous planet. The temperature of the gaseous plan

vladimir1956 [14]

Answer:

its 450 k

Step-by-step explanation:

It is given that the temperature of the gaseous planet is linearly related with height of the atmosphere. we can write this in the mathematical equation:

y = m x +c

where y is the temperature values, x is height, m is the slope and c is the y-intercept. we have been given two sets of value in the image, using which we can find the value of slope in y-intercept.

at x = 18.40 km, y = 147.54 K

⇒147.54 = 18.40 m + c

⇒c = 147.54 - 18.40 m ..(1)

at x =78.11 km, y = 567.00 K

⇒567.00 =78.11 m + c ..(2)

Put equation 1 in 2 and solve:

⇒567.00 =78.11 m + 147.54 - 18.40 m

⇒419.46 = 59.71 m

⇒ m =419.46 ÷59.71 = 7.025 K/km

c = 147.54 - 18.40 × 7.025 = 18.28 K

At height, x = 61.5 km the approximate temperature is :

y = 7.025 K/km × 61.5 km + 18.28 K = 450.3 K

Thus, the approximate temperature at altitude 61.5 km is 450 K.

7 0

4 years ago

The weights of a small box of healthy oats are normally distributed with a mean of 8.9 oz and a standard deviation of 0.1 oz. Fi

s2008m [1.1K]

Answer:

) Compute the sample mean x and the sample standard deviation s.

Do NOT use a computer. You may only use +, –, ×, ÷, and on a calculator.

Show ALL work.

143.1

15.5 16.2 16.1 15.8 15.6 16.0 15.8 15.9 16.2 = = = ∑ + + + + + + + +

= 15.9.

x x 2 x x − x ( ) 2

x − x

15.5

16.2

16.1

15.8

15.6

16.0

15.8

15.9

16.2

240.25

262.44

259.21

249.64

243.36

256.00

249.64

252.81

262.44

15.5

16.2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please solve asap thanks

tensa zangetsu [6.8K]

I think..

A' =( -1,-4 )

B' = ( 3,-2 )

C'=( - 2, 2 )

5 0

3 years ago

Read 2 more answers

A bakery sold 208 pounds of bread last week. This is about 5 times as many pounds as were sold this week. About how many pounds

FrozenT [24]

Answer:

41.6 pounds

Step-by-step explanation:

x to represent the pounds of bread sold this week

208 = 5x

x = 208/5

x = 41.6

41.6 Pounds of bread were sold this week.

4 0

3 years ago

Read 2 more answers

Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and AB = 8x − 7, what is x? Round to the nearest tenth.

Nadya [2.5K]

The side AB is equal to the side DE. Then the value of x is 6.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle ABC is congruent to triangle DEF.

If DE = 41, EF = 23, DF = 36, and AB = 8x − 7.

Then the side AB is equal to the side DE.

AB = DE

8x - 7 = 41

8x = 48

x = 6

Then the value of x is 6.

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

5 0

2 years ago

Read 2 more answers

The​ 18th, 19th and 20th numbers in the Fibonacci sequence​ are, respectively,​ 2584, 4181, and 6765. What is the 21st​ number?

The 18th, 19th and 20th numbers in the Fibonacci sequence are, respectively, 2584, 4181, and 6765. What is the 21st number?