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aivan3 [116]
3 years ago
12

Which formula can be used to describe the sequence -3, 3/5, -3/25, 3/125, -3/625

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

Answer:

a(n) = -3(-1/5)^(n - 1)

Step-by-step explanation:

From the first term, -3, we get the second term, 3/5, by multiplying -3 by -1/5.

Thus, the common ratio is -1/5.

The general formula in this case is a(n)=(first term)(common ratio)^(n - 1), or

a(n) = -3(-1/5)^(n - 1)

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Answer:

x = 2

Step-by-step explanation:

lines parallel to the y-axis are always vertical and begin with 'x ='

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Nadia is writing a science report. She wrote 95 words each day for 12 days. How many total words did Nadia write?
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3 years ago
6. m A = 8x - 2, m B = 2x - 8, and m2 C = 94 - 4x. List the sides of A ABC in order from shortest to
Oduvanchick [21]

Given:

In triangle ABC, m∠A=(8x-2)°, m∠B=(2x-8)° and m∠C=(94-4x)°.

To find:

The sides of the triangle ABC in order from shortest to  longest.

Solution:

In triangle ABC,

m\angle A+m\angle B+m\angle C=180^\circ              (Angle sum property)

(8x-2)^\circ+(2x-8)^\circ+(94-4x)^\circ=180^\circ

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6x+84=180

6x=180-84

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Divide both sides by 6.

x=\dfrac{96}{6}

x=16

Now,

m\angle A=(8(16)-2)^\circ

m\angle A=(128-2)^\circ

m\angle A=126^\circ

Similarly,

m\angle B=(2(16)-8)^\circ

m\angle B=(32-8)^\circ

m\angle B=24^\circ

And,

m\angle C=(94-4(16))^\circ

m\angle C=(94-64)^\circ

m\angle C=30^\circ

In a triangle the smaller angle has shorter opposite side and larger angle has longer opposite side.

24^\circ

m\angle B

AC

List the sides of triangle ABC in order from shortest to  longest is AC:AB:BC.

Therefore, the correct option is A.

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