All categories

3 years ago

Find an explicit formula that generates a sequence whose first four terms are: 24, 36, 54, 81

Mathematics

2 answers:

Basile [38]3 years ago

7 0

7 is the right answer to the question

sattari [20]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

These are the first 4 terms of a geometric sequence with n th term

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

r = 36 ÷ 24 = 54 ÷ 36 = 81 ÷ 54 = 1.5 and a₁ = 24, hence

$a_{n}$ = 24 $(1.5)^{n-1}$ ← explicit formula

You might be interested in

Distribute. Please help asap

Sholpan [36]

Answer:

-9u^7v - 6u^5v - 21u^2v

Step-by-step explanation:

5 0

3 years ago

Fed [463]

Answer:

The out put 1. 5

The out put 2. 6

Step-by-step explanation:

What is this sopost to mean?

Srry if that did not helps much I tried my best

Please give me Brainliest

I really need it plz

3 0

3 years ago

Read 2 more answers

Which expressions are equivalent to 4b

Lena [83]

c and b are your answers

8 0

3 years ago

Read 2 more answers

Find the mean of 11, – 7, – 14, 10, and -5.

Rudik [331]

Answer:

-1

Step-by-step explanation:

6 0

3 years ago

A woman walks due west on the deck of a ship at 3 mi/h. The ship is moving north at a speed of 22 mi/h. Find the speed and direc

Minchanka [31]

Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

Step-by-step explanation:

Since we have given that

Speed at which woman walks due west = 3 mi/hr

Speed at which ship moving due north = 22 mi/hr

Now it forms "Pythagorus theorem":

So, it becomes,

$H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr$

And the direction of the woman relative to the surface of the water is given by

$\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ$

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

5 0

3 years ago