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schepotkina [342]
3 years ago
15

Determine the explicit form of the function that describes the sequence below.

Mathematics
2 answers:
lakkis [162]3 years ago
5 0
So the series we have goes 16, 24, 36, 54
And we are adding 8, 12, 18
The pattern I noticed we that to get the next value you multiply the current value by 1.5
This results in the following equation:
n = 3c \div 2
n is the next value and c is the current.
Hope this helps!
otez555 [7]3 years ago
4 0

Answer:  Option 'c' is correct.

Step-by-step explanation:

Since we have given that

16,24,36,54.....

Since it is a geometric sequence.

Here, a = first term = 16

r = common ratio is given by

\frac{a_2}{a_1}=\frac{24}{16}=\frac{3}{2}

So, n th term ( explicit form ) will be

a_n=16(\frac{3}{2})^{n-1}

Hence, Option 'c' is correct.

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Explain why the additive method and subtractive method are both important to know how to perform instead of just being good at o
MrRa [10]
The additive and subtractive method are opposites of each other, so it is important to know how to do each of them so that you could reverse them if you wanted to.
5 0
3 years ago
Can somone help me with this please
yaroslaw [1]

Answer:

undefined

0

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

m = (-7 -5)/(-6 - -6)

   = (-7-5)/(-6+6)

   -12 /0

undefined

m = (y2-y1)/(x2-x1)

m = (-3 - -3)/(7 - -8)

    = (-3+3)/(7+8)

    = 0/15

   = 0

8 0
3 years ago
Read 2 more answers
The quotient of a number m and 3 is more than 4.5. Write this word sentence as an inequality.
prohojiy [21]

Answer:

well u have to put 3 and the greater than sign and then 4.5

6 0
3 years ago
What’s the equivalent of 50000
dezoksy [38]

Is this for money? Do you want an equivalent fraction? Please be more specific, but I'll imply a couple of options.

FOR MONEY:

50,000 euros is 55142.50 dollars

50,000 dollars is 45337.08 euros

Is 50,000 US dollars a good salary? In my opinion, yes. If you are a single person, and you work an office job from 9 to 5, then yes, that is a good salary.

MATH/NUMBERS:

50,000 = 100,000 ÷ 2

50,000 = 200,000 ÷ 4

50,000 = 25,000 × 2

50,000 = 12,500 × 4

There are other examples that could be used for both money and math, but I would not be able/do not have the time to list them all.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>
5 0
4 years ago
Starting with x1 = 2, find the third approximation x3 to the root of the equation x3 − 2x − 2 = 0.
andrew11 [14]

Answer:

0.8989

Step-by-step explanation:

Using the Newton's Raphson approximation formula.

Xn+1 = Xn - f(Xn)/f'(Xn)

Given f(x) = x³-2x+2

f'(x) = 3x²-2

If the initial value X1 = 2

X2 = X1 - f(X1)/f'(X1)

X2 = 2 - f(2)/f'(2)

f(2) = 2³-2(2)+2

f(2) = 8-4+2

f(2) = 6

f'(2) = 3(2)²-2

f'(2) = 10

X2 = 2- 6/10

X2 = 14/10

X2 = 1.4

X3 = X2 - f(X2)/f'(X2)

X3 = 1.4 - f(1.4)/f'(1.4)

f(1.4) = 1.4³-2(1.4)+2

f(1.4) = 2.744-2.8+2

f(1.4) = 1.944

f'(1.4) = 3(1.4)²-2

f'(1.4) = 3.880

X3 = 1.4- 1.944/3.880

X3 = 1.4 - 0.5010

X3 = 0.8989

Hence the value of X3 is 0.8989

6 0
3 years ago
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