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DedPeter [7]
3 years ago
5

Find the common ratio for the following sequence. 27, 9, 3, 1, ... User: Find the common ratio for the following sequence. 1/2,-

1/4, 1/8, -1/16 User: What is the seventh term of a sequence whose first term is 1 and whose common ratio is 3? 243 729 2,187
Mathematics
2 answers:
yuradex [85]3 years ago
8 0

Answer:

My answer is 1/3 !!!!! Lmk if it's right or not

saveliy_v [14]3 years ago
4 0
R=common ratio= an / an-1
27,9,3,1.....;
 r=an/an-1= a₂/a₁=9/27=1/3

r=1/3.


1/2,-1/4,1/8,-1/16
r=an/an-1=(-1/4) / (1/2)=-2/4=-1/2

r=-1/2.

a₁=1
r=3
an=a₁*r^(n-1)
a₇=1.3⁷⁻¹=3⁶=729

a₇=729
You might be interested in
"Select the equation of the least squares line for the data: (34.0, 1.30), (32.5, 3.25), (35.0, .65), (31.0, 6.50), (30.0, 5.85)
yulyashka [42]

Answer:

y=-1.055 x +37.643

And the best option would be:

a. ŷ= 37.643-1.0543x

Step-by-step explanation:

We assume that the data is this one:

x: 34.0, 32.5, 35.0, 31.0, 30.0, 27.5, 29.0

y: 1.30, 3.25, 0.65, 6.50, 5.85, 8.45, 6.50

Find the least-squares line appropriate for this data.  

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 34.0+ 32.5+ 35.0+ 31.0+ 30.0+ 27.5+ 29.0
=219

\sum_{i=1}^n y_i =1.3+3.25+0.65+6.5+5.85+8.45+6.5=32.5

\sum_{i=1}^n x^2_i = 34.0^2+ 32.5^2+ 35.0^2+ 31.0^2+ 30.0^2+ 27.5^2+ 29.0^2
=6895.5

\sum_{i=1}^n y^2_i =1.3^2+3.25^2+0.65^2+6.5^2+5.85^2+8.45^2+6.5^2=202.8

\sum_{i=1}^n x_i y_i =34*1.3 + 32.5*3.25+ 35*0.65+ 31*6.5+30*5.585 +27.5*8.45 +29*6.5=970.45

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6895.5-\frac{219^2}{7}=43.929

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=970.45-\frac{219*32.5}{7}=-46.336

And the slope would be:

m=-\frac{46.336}{43.929}=-1.055

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{219}{7}=31.286

\bar y= \frac{\sum y_i}{n}=\frac{32.5}{7}=4.643

And we can find the intercept using this:

b=\bar y -m \bar x=4.643-(-1.055*31.286)=37.643

So the line would be given by:

y=-1.055 x +37.643

And the best option would be:

a. ŷ= 37.643-1.0543x

5 0
4 years ago
If the measure of arc AB is 45 degrees and the radius is 12 meters, what is the arc length of arc AB?
dalvyx [7]

Answer:

9.42 m

Step-by-step explanation:

Arc AB = 2πr x (45/360)

           = (2 x 3.14 x 12) / 8

           = 9.42

3 0
3 years ago
What number comes next in the sequence?<br><br> 1, 1, 2, 3, 5, 8, 13, 21, 34, ?
Vitek1552 [10]

Answer:

55

Step-by-step explanation:

1+1 = 2

1+2 = 3

2+3 = 5

3+5 = 8

5+8 = 13

8+13 = 21

13+21 = 34

21 +34 = 55

PLEASE GIVE BRAINLIEST

3 0
2 years ago
Megan owns a clothing boutique. The table below represents the profit made, in dollars, every year since 2010, where x represent
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

I think it’s 738,738.977 I mean

8 0
3 years ago
Chelsey wants to join a fitness club. She has a coupon that will give her $12.50 off the monthly rate for the first 6 motnhs. Wi
MAVERICK [17]

Answer:

Your answer is 10

Step-by-step explanation:

So if you have to pay 55 out front and then continue to pay 19.50 monthly the equation will look like this:

19.50*m + 55 = x

(M stands for month)

She has 250 dollars to spend so add that in for x

19.50*m + 55 = 250.  

Use inverse operations.

250-55 and 55-55

19.50*m = 195

195/19.50 and 19.50/19,50

m=10

Your answer is 10

7 0
3 years ago
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