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hodyreva [135]
3 years ago
10

Write the explicit formula that represents the geometric sequence -2,8,-32,128.

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer:

a_{n} = - 2(-4)^{n-1}

Step-by-step explanation:

The n th term ( explicit formula ) for a geometric sequence is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = - 2 and r = 8 ÷ - 2 = - 4, thus

a_{n} = - 2(-4)^{n-1}

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PLZ HELP ill GIVE BRAINIESt!!!!
Elenna [48]
This problem can be modeled by the picture shown below. We notice that we are given to side lengths, specifically legs, of the triangle. Therefore, we can use the Pythagorean Theorem, which states that a^2+b^2=c^2, where a and b are legs and c is the hypotenuse. So we can do:

16^2+12^2=c^2
256+144=c^2
400=c^2

The square root of 400 is 20, which is our hypotenuse.

(You might wonder why we used 12, that is because the whole base length is 24, but we only need half of the base to  use the Pythagorean Theorem. 24/2 is 12).

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3 years ago
Teresa babysits for her neighbors . She charges $13 for the first hour and $10 for each additional hour. Write a rule for the to
Solnce55 [7]
It would be 13 + 10t because she starts with 13 dollar charge in the first hour but every hour after that would be 10 dollars an hour.
7 0
3 years ago
Aya and Kendra want to estimate the height of a tree. On a sunny day, Aya measures Kendra's shadow as 3 meters long, and Kendra
densk [106]

Answer:

tree=4.5 meters tall

Step-by-step explanation:

1.5*3=4.5

6 0
3 years ago
Read 2 more answers
Awnser and show your work <3
marishachu [46]

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

\frac{5}{x} = \frac{1}{5}

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

\frac{3}{x} = \frac{1}{8}

cross multiply to get

x*1=3*8

x= 24 players

6 0
3 years ago
Noah says to find 20% of a number he divides the number by 5. Is this true explain your answer
Nutka1998 [239]

Answer:

yes

Step-by-step explanation:

note that 20% = \frac{20}{100} = \frac{1}{5}

Hence to find 20% of a number, dividing the number by 5 is correct

20% of £30 = \frac{30}{5} = £6


5 0
3 years ago
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