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vichka [17]
3 years ago
15

Find the 14th term of the following geometric sequence. 4, 8, 16, 32, ...

Mathematics
2 answers:
Softa [21]3 years ago
8 0

Answer:

32768

Step-by-step explanation:

an = (a1)(r^{n-1} )\\\\

where an stands for the number in the series,

a1 is the first number in the series

and n is the number or the order in which the number in the series we are looking at.  r is the ratio.

in this we case we are looking for the 14th number, where n = 14, the first number is 4 and r is the ratio they increase by a factor of 2. so r = 2.

Substituting all of these back into the equations would give us:

<h3>a14 = 4(2^{13} )</h3>

This will give us the answer.

<h2 />
xz_007 [3.2K]3 years ago
4 0

Answer:

65536

Step-by-step explanation:

multiply each term by 2 until you get to the 14th term. the 14th term is 65536

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Licemer1 [7]

Answer:

Step-by-step explanation:

Our function is : 3x²-3x-1

  • 3x²-3x+2=2
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so x is 1

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  • Δ(the dicriminant)= (-4)²-4*3*(-2)= 16+24 =40
  • two solution x and y
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3 years ago
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nadya68 [22]

Answer:

B. 5( 3n + 2 )...............

6 0
2 years ago
In the year 2008, a person bought a new car for $23500. For each consecutive year after that, the value of the car depreciated b
Ksivusya [100]

Answer:

$17131.50

Step-by-step explanation:

23500 decrease 10% =

23500 × (1 - 10%) = 23500 × (1 - 0.1) = 21150

21150 decrease 10% =

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7 0
2 years ago
The shape of the solution region for the system (picture) can be described as which of the following? Select all that apply.
grandymaker [24]
We have 
x>=-2
x<=6
y>=-1
y<=4

using a graph tool
see the attached figure

the solution is the figure of a rectangle <span>limited by points
</span>(-2,-1) (6,-1) (-2,4) (6,4)


the answer is 
a rectangle
a parallelogram (
rectangles<span> are subsets belonging to the set of </span><span>parallelograms)</span>

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3 years ago
What is 3x^4 + 5x^3 + x^2 - 5 divided by x + 2
Brilliant_brown [7]
Remember, there is a missing term which is crucial to solving this, and that is 0x.

Ima use synthetic division, because that's the quicker option here:

The zero of x+2 is -2...

-2 | 3 5 1 0 -5
-6 2 -6 12
_____________
3 -1 3 -6 7

(Sorry, I'm unsure how to fix the formatting, plus I'm new to this. The -6 and such on the second line should be below the 5 and following of the first line, and the 3 and such on the last line should be below the 3 and following on the first line, leaving a space between the 3 on the first and third line.)

So the answer is: A. 3x^3 - x^2 + 3x - 6 + 7/(x+2)
8 0
3 years ago
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