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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

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Answer:

x =1/12(1-√(97) )

Step-by-step explanation:

4 0
3 years ago
Find the diameter of the circle with the given circumference use 3.14 C=18
algol [13]
The formula for the circumference of a circle is pi * r * 2

First we solve for r (the radius)
pi*r*2 = C
pi*r*2 = 18

Divide 18 by 2
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Then divide 9 by 3.14
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The diameter is 2 times length of the radius so multiply 2.866 by 2
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Hope that helped
3 0
3 years ago
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RideAnS [48]

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So:

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8 0
3 years ago
Read 2 more answers
A fountain in the park has two circular pools that are the same size. What is the total area of the pools if the radius is 3 yar
mihalych1998 [28]

Answer:

56.6 square yards.

Step-by-step explanation:

Given:

A fountain in the park has two circular pools that are the same size.

<u>Question asked:</u>

What is the total area of the pools if the radius is 3 yards ?

<u>Solution:</u>

First of all we will calculate the area of a circular pool.

As we know:

Area\ of\ circle=\pi r^{2}

                       =\frac{22}{7} \times(3)^{2} \\ \\ =\frac{22}{7}\times9\\ \\ =\frac{198}{7} \\ \\ =28.28\ square\ yards

Area of circular pool nearest tenth = 28.3 square yards

Now, as given that both pools are of same size.

Total area of the pools = 28.3 square yards + 28.3 square yards

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Thus, the total area of the pools are 56.6 square yards.

5 0
3 years ago
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10-1: Compound Probability
ahrayia [7]

Answer:

Step-by-step explanation:

Probability of black pens  =     3/14

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to find the probability of black pen and white paper clip we have to multiply these two probability.

3/14 x 16/40 = 48/560 = 8.6

3 0
3 years ago
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