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Oxana [17]
3 years ago
11

Is the sequence geometric? if so, identify the common. 2, 6, 18, 54,...

Mathematics
2 answers:
Tom [10]3 years ago
8 0
To find the common and to see whether the sequence is geometric or not you have to divide n+1 term to n term. 

For example 2nd to 1st:
6:2=3
18:6=3

The answer is yes. The sequence is geometric and the common ration is 3. I hope that this is the answer that you were looking for and it has helped you.
Nastasia [14]3 years ago
7 0
Common ratio = 6/2 = 3
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Read 2 more answers
A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
erastovalidia [21]

Answer:

The average yearly salary of  the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

4 0
3 years ago
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