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krok68 [10]
2 years ago
7

In a geometric sequence, the ratio between consecutive terms is...

Mathematics
1 answer:
Leokris [45]2 years ago
6 0
<h3>Answer: The same or equal</h3>

========================================================

Explanation:

Consider an example like 3, 6, 12, 24, 48, ...

The ratio between consecutive terms is

  • 6/3 = 2
  • 12/6 = 2
  • 24/12 = 2
  • 48/2 = 2

Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.

As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.

An example with r being negative would be something like

1, -1, 1, -1, 1, -1, ....

we just bounce back and forth between those two values. In this case, r = -1.

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A building 50 ft high casts a 75-ft shadow. Sarah casts a 6-ft shadow. The triangle formed by the building and its shadow is sim
Rom4ik [11]
Make each known side into a ratio like so...
75/6 
(Because 75 is the shadow casted by the building, and 6 is the shadow casted by sarah)
and 50/x 
(50 is how tall the building is and sarah's height is what needs to be found) 
Therefore, 
75    50
----  -----
 6      x

Do cross products;
50 x 6 = 75 x X
300 = 75x 
Divide by 75 
x = 4ft

8 0
3 years ago
6464 is 444 times the difference between Sarah's age, aaa, and 444444. Assume Sarah is older than 44
xxMikexx [17]

Answer:

60 years

Step-by-step explanation:

Given that :

Sarah's age = a

Assume Sarah is older than 44 ; then a > 44

64 = 4 times difference between a and 44

Expressing the problem mathematically ;

64 = 4 * (a - 44)

64 = 4a - 176

64 + 176 = 4a

240 = 4a

a = 240 / 4

a = 60

Hence, Sarah is aged 60

5 0
3 years ago
Hellppp me outttt plzzzz
aniked [119]

Answer sorry i cant help u rn

Step-by-step explanation:

5 0
3 years ago
While driving to the school, I was 20 miles from the school at 7:00. By 7:15, I was 8 miles away from the school. What was my ra
Contact [7]

Answer:

your rate of change was 40%

Step-by-step explanation:

8 0
3 years ago
3 times a number xx, subtracted from 1818, is less than -90.?90. Write an inequality for the statement above. Find the solution
Evgen [1.6K]

Answer:

The solution set is: x>36

Step-by-step explanation:

We are given that we have to subtract 3 times of some number 'x' from 18 such that the resulting equation is less than -90.

this means that : 18-3x<-90

on solving the inequality by adding 3x on both side and adding 90 on both side we get that

 108<3x

now on dividing both side by 3 we get that

x>36

Hence our solution set is: x>36


5 0
3 years ago
Read 2 more answers
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