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dedylja [7]
3 years ago
10

What is the recursive rule for this geometric sequence?

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

a_{n} = \frac{1}{4}a_{n-1}

Step-by-step explanation:

The recursive rule allows us to find the term in a sequence from the previous term by multiplying it by the common ratio.

The common ratio r for the geometric sequence is

r = \frac{\frac{1}{2} }{2} = \frac{1}{4}

Thus the recursive rule is

a_{n} = \frac{1}{4}a_{n-1} with a₁ = 2

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It's 9 4/5 miles from Justin's house to the art museum the distance to the history museum is 9/10 this far
Leno4ka [110]
The history museum is less that 9 4/5 miles. 9/10 means that the 9 3/4 mile is broken up into 10 equal parts and the distance to the museum is only 9 of those parts. 9 3/4 (9.8) divided by 10 equals 98/100 (.98) 
98/100 x 9 = 882/100 or 8.82 

Justin's house is 8.82 miles from the museum. 
6 0
3 years ago
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Fofino [41]
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4 0
3 years ago
Daniel wants to buy cookies for her friends. The area of a cookie is 113.04 in2. What is the circumference of the cookie?
prisoha [69]

Answer:

The circumference of the cookie is 37.68 inches.

Step-by-step explanation:

We have,

The area of a cookie is 113.04 square inches.

It is circular in shape. The area of circle is given by :

A=\pi r^2

r is radius of circle

r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{113.04}{3.14}} \\\\r=6\ \text{inch}

The circumference of circular shaped object is given by :

C=2\pi r\\\\C=2\times 3.14\times 6\\\\C=37.68\ \text{inch}

So, the circumference of the cookie is 37.68 inches.

7 0
3 years ago
Ricardo works in the marketing department of a game design company. His boss has offered to bonus the entire department of their
Stells [14]

Answer:

<h2>Approximately 4824 games </h2>

Step-by-step explanation:

Given that the sales made are 4,567 ,5430, 3998, 5,220,and 4,906

the average is (4567+5430+3998+5220+4906)/5

=24121/5

=4824.2

in the month of august let the sales be x

average= (4567+5430+3998+5220+4906+x)/6

the average for march to july is 4824.2

4824.2= (4567+5430+3998+5220+4906+x)/6

24121+x=4824.2*6

24121+x=28945.2

x=28945.2-24121

x=4824.2

approximately 4824 games

4 0
3 years ago
Can someone please give me the answers to this? ... please ...
Darina [25.2K]

Step-by-step explanation:

anyway, without any further information about ground consistency, friction and stuff, we have to assume ideal circumstances.

so, the same energy that made the ball flying through the air makes it also bounce or roll across the ground carrying it exactly the same distance at the same time.

the distances with an ideal, reflective ground will be the same.

it is the same energy released with the same inertia.

6 0
3 years ago
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