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3 years ago

Which choice is the explicit formula for the following geometric sequence? 0.2, -0.06, 0.018, -0.0054, 0.00162

Mathematics

1 answer:

Crazy boy [7]3 years ago

8 0

Answer:

aₙ = 0.2(-0.3)⁽ⁿ⁻¹⁾

Step-by-step explanation:

The geometric sequence with the first term a, a common ratio r has the nth term given as

Tₙ = arⁿ⁻¹

where Tₙ is the nth term

From the given sequence

a = 0.2

r = -0.06/0.2

= -0.3

Hence the nth term

= 0.2 * -0.3ⁿ⁻¹

The right option is E

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Identify the like terms.

lesya [120]

C! Like terms refer to the variables that are the same, rather than the coefficients (the numbers).

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3 years ago

A road sign gives drivers information about traffic on busy highways. One sign shows 15 miles in 20 minutes. What is this speed

SIZIF [17.4K]

Answer: Speed in miles per hour is 45 mph.

Step-by-step explanation:

Since we have given that

Distance covered = 15 miles

Time taken to cover the above mentioned distance = 20 minutes

We need to calculate the speed in miles per hour ,

As we know the formula for " Speed " i.e.

$Speed=\frac{Distance}{Time}$

Now, we will put the value of distance and time in the above formula:

$Speed=\frac{15}{20}\times 60\\\\Speed=15\times 3\\\\Speed=45\ mph$

Hence, Speed in miles per hour is 45 mph.

8 0

3 years ago

Read 2 more answers

Use an associative property to write an equivalent expression

Angelina_Jolie [31]

Answer:

6y+3xy

Step-by-step explanation:

You can combine the y's together to get this answer

3 0

3 years ago

What is 2(8x-3) -4(3x-5)=19

vladimir1956 [14]

Answer:

5/4

Step-by-step explanation:

2(8x-3)-4(3x-5)=19

16x-6-12x+20=19

16x-12x-6+20=19

4x+14=19

4x=19-14

4x=5

x=5/4

7 0

3 years ago

What is the mass of a cylinder of lead with a radius of 2 centimeters and a height of 6 centimeters, given that the density of l

ycow [4]

The mass of lead cylinder is: 859.10 grams

Step-by-step explanation:

In order to find the mass of a cylinder we have to find the volume first

Given

Radius = r = 2 cm

Height = h = 6 cm

The volume of cylinder is given by:

$V = \pi r^2h$

Putting the values

$V = 3.14 * (2)^2 * 6\\= 3.14*4*6\\=75.36\ cm^3$

Now,

Density of lead per cm^3 = 11.4g

$Mass\ of\ cylinder = Volume*Density\\= 75.36*11.4\\=859.10\ grams$

The mass of lead cylinder is: 859.10 grams

Keywords: Volume, Density

Learn more about volume at:

#LearnwithBrainly

7 0

3 years ago