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Dvinal [7]
3 years ago
7

Find the common ratio of the following geometric sequence. If necessary, use the slash bar ( / ) to enter a fraction. Reduce fra

ctions to their lowest terms.,
2/5 , -4/15 , 8/45 , -4/15 , -8/45
Mathematics
1 answer:
algol [13]3 years ago
5 0
We have that
<span>2/5 , -4/15 , 8/45 , -4/15 , -8/45

we know that
 
</span><span>A geometric sequence is defined by   
a(n + 1) = r*a(n)
so
r = a(n + 1) / a(n)</span>

Let
a1=2/5
a2=-4/15
a3=8/45

a2/a1=(-4/15)/(2/5)=-20/30------> -2/3
a3/a2=(8/45)/(-4/15)=-20/30------> -30/45--------> -2/3

<span>the common ratio is
</span>r=-2/3
calculate
a4=r*a3---------> (-2/3)*8/45-----> -16/135
a5=r*a4--------> (-2/3)*(-16/135)-----> 32/405

the correct geometric sequence is 
2/5 , -4/15 , 8/45 , -16/135 , 32/405, .....

the answer is
the common ratio is r=-2/3

You might be interested in
Which inequality is true
yarga [219]

The inequality that is true is 7π > 21

<h3>How to determine the inequality that is true?</h3>

To do this, we simply test the given inequalities (starting from the first)

The first inequality is represented as

7π > 21

Divide both sides of the inequality by 7

So, we have:

7π/7 > 21/7

Evaluate the quotient of 21 and 7

So, we have:

7π/7 > 3

Evaluate the quotient of 7π and 7

So, we have:

π > 3

The above inequality is true.

This is so because π = 3.14 and 3.14 > 3

Hence, the inequality that is true is 7π > 21

Read more about inequality at

brainly.com/question/24372553

#SPJ1

6 0
1 year ago
Help please..............
arsen [322]
Looks good to me. Calculation is correct.  Although you might want to add to #1 your description; that the width of the rectangle is the circumference of the circle (w = 2πr) and that you add the surfaces together to get the total surface area.
total surface area = area of rectangular part + area of circular parts
SA = 2πrL + 2πr²

7 0
3 years ago
3.5 m
marysya [2.9K]

Answer:

This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.

Now, the circunference of a circle can be written as:

C = 2*pi*r

where:

pi = 3.14

r = radius = half of the diameter = 3.5m/2 = 1.75m

Then replacing those values in the equation for the circumference we have:

C = 2*3.14*1.75m = 10.99 m.

And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)

We can safely round up the circumference to the next whole number, C = 11m

4 0
3 years ago
It is given that<br> H=(x:x
Ludmilka [50]

Answer:

is rational number.......

5 0
2 years ago
Please help asap!! Thank you
djyliett [7]

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

60° + 2x° + (2x+12)° = 180° { being a linear pair}.

or, 72° + 4x = 180°

4x = 180° - 70°

x =  \frac{108}{4}

Therefore, the value of x is 27°.

Now,

2x° = (2×27)°= 54°

(2x+12)° = 2×27°+12°= 66°.

(x+2)= 27+ 2= 29°

Now, The left angle is 27°.

Therefore, The answer is option A.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

6 0
3 years ago
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