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vfiekz [6]
3 years ago
12

If anyone can help me to write recursive and explicit definition for this sequence I'm giving extra points!!

Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Step-by-step explanation:

Each term is 2 more than the previous term, and the first term is 12, so the recursive formula is:

a_{n}=a_{n-1}+2, a_{1}=12

This is an arithmetic sequence, so the explicit formula is:

a_{n}=12+2(n-1)\\a_{n}=10+2n

The next three terms are 20, 22, 24.

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A perfume manufacturer uses 0.875 pounds of rose petals to make each bottle of perfume. How many pounds of rose petals would be
trapecia [35]
To solve this problem
Let X be pounds of rose petals needed.
ATQ
0.875 pounds of rose petals are in 1 bottle.
So, 0.875 / 1 = X / 86
( because we have to find how many petals {in pounds}are there  in 86 perfume bottles )
cross muliplying both side.
0.875 * 86 = X
75.25 = X
So, there are 75.25 pounds of petals in 86 perfume bottles.
8 0
3 years ago
Read 2 more answers
Which choice correctly expresses the number below in scientific notation?
SVEN [57.7K]

Answer:

D

Step-by-step explanation:

In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.

4 0
3 years ago
I need help with this question please
11Alexandr11 [23.1K]
Since you know that the equation of straight line is y=Mx + c
Where m mean gradient , and c means intercept
We don’t know our intercept neither do we know our gradient
So we have to find these to get our equation
Therefore, to find m( gradient) from the table
We are going to use the formulae for gradient which is
M=y2-y1 / x2-x1
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3 0
2 years ago
According to a survey, 62% of americans go on vacation each . two americans are chosen from a group of 100 americans. what is th
Drupady [299]

probability of one go on vacation and one does not go on vacation is 0.2356 and probability none of them go on vacation is 0.1444

According to a survey, 62% of americans go on vacation each .

two americans are chosen from a group of 100 americans.

what is the probability that one or both of the people chosen does not go on vacation each ?

62% americans go on vacation t

hen 38% americans does not go on vacation

Total group of americans is 100

out of 100 americans 62 go on vacation and 38 does not go on vacation

probability of one go on vacation and one does not go on vacation

= 0.62*0.38

=0.2356

probability none of them go on vacation

= 0.38*0.38

=0.1444

learn more about of probability here

brainly.com/question/11234923

#SPJ4

6 0
1 year ago
Consider the following function. f(x) = 9 − x2/3 Find f(−27) and f(27). f(−27) = f(27) = Find all values c in (−27, 27) such tha
oksano4ka [1.4K]

I guess the function is f(x)=9-x^{2/3}. Then f(-27)=0 and f(27)=0.

The derivative is f'(x)=-\dfrac23 x^{-1/3}, but there is no c such that

-\dfrac23c^{-1/3}=0

This doesn't contradict Rolle's theorem because f'(0) does not exists. In other words, f is not differentiable on (-27, 27), so the conditions of Rolle's theorem are not met. (Looks like that would be the last option, or the second to last option if the last one is "Nothing can be concluded")

6 0
3 years ago
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