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Volgvan
3 years ago
6

What is the next number in the sequence 2,9,25,50,84,127,

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0
Find the rates of change until it is constant...

dy/dx=7,16,25,34,43

d2y/dx2=8,9,9,9  so it appears 8 is the anomaly while the acceleration constant is 9 after the initial term.  Let's set up a system ignoring the first data point and solve for the quadratic...

16a+4b+c=50
9a+3b+c=25
4a+2b+c=9  gettting differences

7a+b=25
5a+b=16  and again

2a=9, a=4.5, making 5a+b=16 become:

22.5+b=16

b=-6.5, making 4a+2b+c=9 become:

18-13+c=9, c=4

So the sequence can be expressed as:

a(n)=4.5n^2-6.5n+4, where n=term number
You might be interested in
The sum of two prime numbers
Anna35 [415]
The sum of the two prime numbers is 85. This is an odd number. According to the Rule, the sum of the even prime number and the odd prime number is called an odd number.
6 0
3 years ago
Nikki has 3 pieces of yarn. the first piece is 5/6 feet long the second piece is 5/3 feet long and the third piece is 3/2 oder s
xenn [34]
I think you are asking to sort them according to the shortest to longest in length. For this, it would be helpful to write the fraction into decimal. The equivalent values are as follows:

5/6 = 0.83
5/3 = 1.67
3/2 = 1.50

Therefore, the correct sorting would be as follows:

first yarn
third yarn
second yarn

Hope this answers the question. Have a nice day.
4 0
3 years ago
What conclusion can be drawn from the quiz scores shown below?
Alex_Xolod [135]

Answer:

Ken class has a median of 84 while Judy class a median of 87

Step-by-step explanation:

Ken class has a median of 84 while Judy class a median of 87

7 0
3 years ago
Read 2 more answers
Given:
Mamont248 [21]

Option a. 11 is the right answer

Step-by-step explanation:

To find the value of a function on particular input, the value is put in the function in place of variable

Given function is:

f(x) = \left \{ {{3x-7\ \ \ x>0} \atop {2x+3\ \ \  x

As we have to find f(6) and x>0 the part of function 3x-7 will be used

so,

f(6) = 3(6)-7\\= 18-7\\=11

Hence,

Option a. 11 is the right answer

Keywords: Functions, Variables

Learn more about functions at:

  • brainly.com/question/4021035
  • brainly.com/question/4034547

#LearnwithBrainly

8 0
3 years ago
Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n
-Dominant- [34]

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

A=P(1+r)^t

Plugging values in formula, we get

329.49=300(1+r)^2

\mathrm{Divide\:both\:sides\:by\:}300

\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}

\left(1+r\right)^2=1.0983

Taking square root on both sides, we get

1+r=\sqrt{1.0983}

\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}

1+r-1=\sqrt{1.0983}-1

r=\sqrt{1.0983}-1

r=1.048-1

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r  = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

5 0
3 years ago
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