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musickatia [10]
3 years ago
6

What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 2? (5 points)

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0
The third choice is appropriate.
  an = 5 - 3(n - 1); all integers n ≥ 1

_____
This equation follows the form for the general term of an arithmetic sequence.
  an = a1 + d(n - 1)
where a1 is the first term (corresponding to n=1), and d is the common difference. From the problem statement, a1 = 5 and d = 2 - 5 = -3.
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5(x+1)=20<br><br> What is is the answer?
Ilia_Sergeevich [38]

Steps to solve:

5(x + 1) = 20

~Distributive property

5x + 5 = 20

~Subtract 5 to both sides

5x + 5 - 5 = 20 - 5

~Simplify

5x = 15

~Divide 5 to both sides

5x/5 = 15/5

~Simplify

x = 3

Best of Luck!

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3 years ago
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tino4ka555 [31]

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Step-by-step explanation:

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Enter the explicit rule for the geometric sequence.<br><br> 9,6,4,83,…
soldier1979 [14.2K]

Answer:

a_n = 2^(n - 1) 3^(3 - n)


Step-by-step explanation:

9,6,4,8/3,…

a1 = 3^2

a2 = 3 * 2

a3 = 2^2

As we can see, the 3 ^x is decreasing and the 2^ y is increasing

We need to play with the exponent in terms of n

Lets look at the exponent for the base of 2

a1 = 3^2  2^0

a2 = 3^1   2^1

a3 =    3^ 0 2^2

an =   3^      2^(n-1)

I picked n-1  because that is where it starts  0

 n = 1   (1-1) =0

  n=2   (2-1) =1

  n=3  (3-1) =2

Now we need to figure out the exponent for the 3 base

I will pick (3-n)

n =1  (3-1) =2

n =2  (3-2) =1

n=3    (3-3) =0

8 0
3 years ago
3<br> Solve for x.<br> 1<br> 14<br> 10<br> 56<br> 40<br> "<br> 14<br> 56
Nesterboy [21]

Answer:

12

Step-by-step explanation:

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solving that gives you x =12

5 0
3 years ago
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