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skad [1K]
3 years ago
10

Write an explicit formula for the sequence 7, 1, -5, -11, -17,... Then find a14

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0
An=a1+d (n-1)
a1= 7
find d
Let's use a2
a2=1
1=7+d (2-1)
1=7+d
-7 both sides
d=-6
explicit formula is

an=7+-6 (n-1)

a14=?
a14=7-6 (14-1)
a14=7-6×13
a14=7-78
a14=-71
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Solve <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%20%20%5Cfrac%7Bh%7D%7Bh%20-%203000%7D%20" id="TexFormula1" ti
dezoksy [38]
<span>\sqrt{3}(h-3000)=h
</span>(\sqrt{3}h-\sqrt{3}(3000)=h
(\sqrt{3}-1)h=\sqrt{3}(3000)
h=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}
=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}
=7098.076 (approximately)
8 0
3 years ago
I tried this few times can i get some help
mihalych1998 [28]

Answer:

Y=4 X= -6 or (-6,4)

Step-by-step explanation:

Okay so

3x+10y=22

-3x-8y=-14

  1. basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
  2. 10y minus 8y gives us 2y.
  3. 22 minus 14 gives us 8

3x+10y=22

<u>-3x-8y=-14</u>

0+2y=8

Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

\frac{2y}{2}  =  \frac{8}{2}

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.

y= 4

Now we can fill in. You can pick any equation for this but I'm going to chose the first one.

3x+10y=22

we can fill in 4 for y

3x+10(4)=22

3x+40=22

Next we are going to subtract 40 on both sides.

3x+40=22

-40 -40

3x= -18

Next, we're going to divide -18 by 3.

\frac{3x}{3}  =  \frac{  - 18}{3}

The 3s cancel out leaving us x. -18 divided by 3 is -6.

x= -6

Hope this helped!! :)

6 0
3 years ago
Can someone help me I taking a test right now no links please​
Allisa [31]
I think the answer is 12
8 0
2 years ago
How would you express 325.4 miles on 17.3 gallons as a unit rate
Nikitich [7]
I think the answer is 18.8 Miles/gallons. 325.4 miles / 17.3 gallons = 18.78 miles/gallons, round it to 18.8 miles/gallons. 
6 0
2 years ago
Please be correct reward is (brainliest)
aliya0001 [1]
The answer is C,
I think that’s eighth
6 0
2 years ago
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