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4 years ago

What is the explicit rule for this sequence? -5, 15, – 45, 135, ...

Mathematics

1 answer:

hoa [83]4 years ago

4 0

Answer:

Step-by-step explanation:

In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

an = a1r^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the given sequence,

a1 = - 5

r = 15/- 5 = - 3

Therefore, the explicit rule for this sequence is

an = - 5(- 3)^n - 1

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Ldentify the inverse g(x) of the given relation f(x).<br> f(X) = {(8, 3). (4, 1), (0, -1), (-4,-3))

KATRIN_1 [288]

Answer:i am not an expert at this math but you can see if you could learn something about or just see it or think about the question and see if you could find something about the question.

Step-by-step explanation:

8 0

3 years ago

Help, please. This is related to mirror and shadow problems

nadya68 [22]

Answer:

1. x/2=1.75/3.5 x=1

2. 4/2=y/3.5 y=3.5

3. P (Figure Left)=3+5+2+1+4+8+3+2=28 cm

A (Figure Left)=8x2-2x1-3x2=8 cm2

4. P (Figure Left) / P (Figure Right) = 1/1.75 = 28/ P (Figure Right)

P (Figure Right)= 49 cm

A (Figure Left) / A (Figure Right) = 1/1.752 = 8/ A (Figure Right)

A(Figure Right)= 24.5 cm2

Step-by-step explanation:

1. x/2=1.75/3.5 x=1

2. 4/2=y/3.5 y=3.5

3. P (Figure Left)=3+5+2+1+4+8+3+2=28 cm

A (Figure Left)=8x2-2x1-3x2=8 cm2

4. P (Figure Left) / P (Figure Right) = 1/1.75 = 28/ P (Figure Right)

P (Figure Right)= 49 cm

A (Figure Left) / A (Figure Right) = 1/1.752 = 8/ A (Figure Right)

A(Figure Right)= 24.5 cm2

5 0

3 years ago

Can you do the “Describe fully” question please

Black_prince [1.1K]

Answer:

no sorry because I am week in maths

7 0

3 years ago

MATH WILL GIVE BRAINLIEST!

Mice21 [21]

Answer:

-2x + 6 $\leq$ 8x or 5x + 3 < 9

Step-by-step explanation:

-2x + 6 $\leq$ 8x -> x $\geq$ 3/5

5x + 3 < 9 -> x < 6/5

3 0

3 years ago

A van drove 241. 92 miles on 10. 8 gallons of gas. How far could the van drive on a full tank of 16. 2 gallons of gas? Drag and

mrs_skeptik [129]

You can use the given data to find out how many miles does the van travels for 1 gallon of gas. This will help you get the distance van can travel for full tank (16.2 gallons) of gas.

The considered van with full tank(16.2 gallons) can travel 362.88 miles

<h3>How to find the distance the van can travel per gallon of gas?</h3>

Since the considered van traveled 241.92 miles in 10.8 gallons, then we can take equal in dimension of input and output relation.

$10.8 \: \rm gallons = 241.92 \: miles\\\\\text{Dividing both quantities by 10.8 to get miles traveled per gallon}\\\\\dfrac{10.8}{10.8} \: gallon = \dfrac{241.92}{10.8} \: miles\\\\ 1 \: gallon = 22.4 \: miles$

Thus, the considered van travels 22.4 miles per gallon of gas.

Now, since full tank consists of 16.2 gallons, thus, multiplying by 16.2 on both the sides, we get

$\rm 1 \: gallon = 22.4 \: miles\\\\16.2 \: gallons = 16.2 \times 22.4 \: miles = 362.88 \: miles$

Thus,

The considered van with full tank(16.2 gallons) can travel 362.88 miles

Learn more about division here:

brainly.com/question/2689177

8 0

2 years ago