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Solnce55 [7]
3 years ago
6

Write the explicit formula for the geometric sequence.

Mathematics
2 answers:
Alex73 [517]3 years ago
6 0
I believe the answer is D
pav-90 [236]3 years ago
3 0

Answer:

Uₙ = 2(4)ⁿ⁻¹

Step-by-step explanation:

General Formula: Uₙ = a(r)ⁿ⁻¹

a = first term = 2

r = common ratio

r = (Uₙ₊₁)/Uₙ:

r = U₂/U₁

r = 8/2 = 4

∴ formula is: Uₙ = 2(4)ⁿ⁻¹

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Which expression is equivalent to 3m1-m?<br> A) 2+m-1+m<br> B) 1+m<br> C) 3m-1<br> D) 3m
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Read 2 more answers
Please help! I have no idea what to do. I couldn't even guess an answer.
yulyashka [42]

y - y1 = m(x - x1)

Plug in:

Slope = m = 4

Point = (x1,y1) ----> (-3,7)

y - 7 = 4(x - -3) //Solve for y

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y - 7 = 4x + 12

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4 0
3 years ago
PLS HALP I'm stuck on number 31
Marta_Voda [28]
There are 2 possibilities for where A can be: one where C is 30° (and A is 60°) and another where C is 60° (and A is 30°). Since it's not specified, we can find both.

30°:
drawing the triangle on a graph, you can see that point C is 4 units above point B, so we know that one side of the triangle is 4. Once we find the other "leg" of the triangle (the one that's parallel to the x-axis), we can just add that value to B to find the x coordinate of A.
If angle C is 30°, using the side ratios of a 30-60-90 triangle, that side is "a√3", and the side we're looking for is a. So, to find a, we just divide 4 by √3. In that case, point A is 4/(√3) units to the right of -2√3. We can rationalize 4/(√3) like this:

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and then add that to 2√3:

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We know that the x-coordinate of A is (-2√3)/3, and the y-coordinate is -1 because B is a right angle and we're just moving horizontally. So, if C is 30° and A is 60°, point A is at ((-2√3)/3, -1).

60°:
in this case, the leg we know is "a" and the leg we're looking for is "a√3". So, we can multiply 4 by √3 to get the distance from B:

4 x √3 = 4√3

4√3 + -2√3 = 2√3

So the x-coordinate of A here is 2√3, and the y-coordinate is still -1: (2√3, -1).

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8 0
3 years ago
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