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Gala2k [10]
3 years ago
11

Which of the following is the missing term of the geometric sequence in which a1= 2 and a3 = 200?

Mathematics
2 answers:
stellarik [79]3 years ago
5 0
A2 = 20.
The formula is a(n+1) = 10a(n)
kirza4 [7]3 years ago
3 0

Answer:

20

Step-by-step explanation:

Given that the first term of a geometric sequence is 2 and third term is 200.

We have to find the middle term

A geometric sequence will have terms of the form

a,ar,ar^2,....

Since first term is 2, a=2...i

Since third term is 200, ar^2 =200...ii

Divide equation ii by i to get

r^2 =100\\r=10

Because increasing sequence, r cannot be negative so only positive value is take.

II term = ar=2(10)=20

Hence missing term is 20

You might be interested in
When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the
Romashka-Z-Leto [24]

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = 90^{o} - 20°

                             = 70^{o}

Applying the appropriate trigonometric function, we have;

Tan θ = \frac{opposite}{adjacent}

Tan 70^{o} = \frac{x}{10}

⇒ x = 10 x Tan 70^{o}

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.

6 0
2 years ago
How do you find a variable to 4-2(v+9)=26
garik1379 [7]

Answer:

V=20

Step-by-step explanation:

Simplify both sides of the equation.

4−2(v+9)=26

4+(−2)(v)+(−2)(9)=26(Distribute)

4+−2v+−18=26

(−2v)+(4+−18)=26(Combine Like Terms)

−2v+−14=26

−2v−14=26

Step 2: Add 14 to both sides.

−2v−14+14=26+14

−2v=40

Step 3: Divide both sides by -2.

−2v

−2

=

40

−2

v=−20

7 0
3 years ago
-1/2 (−4n+6)+3n=47 solve n=?
Sidana [21]

Answer:

N:10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help with this question asap
stepladder [879]

Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared

In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well.  (180 - 90 -45 = 45)

This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.

So we can say that length of leg1 = x, and the length of leg2 also equals x

Now let's use pythagoras' theorem:

leg1 = x

leg2 = x

hypotenuse = 16

x^2 + x^2 = 16^2

      2x^2 = 16^2

      2x^2  = 256

        x^2 = 128

        x = √(128)

        x = 8√2

3 0
3 years ago
what is an equation of a line that passes through the point (-4,-6) and is perpendicular to the line 2x-y=6
igor_vitrenko [27]

Answer:

Answer:y=2/3x-10/3

- 4/-6 is 4/6 so m is 4/6 then fill in the x and y variables in y=Mx+b solve for b then start plotting the equation of the line to check and you get your answer

I think this is the answer you might need to check again with more people

Step-by-step explanation:

6 0
3 years ago
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