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Naily [24]
3 years ago
15

Write an explicit rule for the geometric sequence (answers down below) :

Mathematics
1 answer:
den301095 [7]3 years ago
5 0

Answer:

Correct answer is third from the top an = 27 · (1/3)∧(n-1)

Step-by-step explanation:

Given geometric sequence :  27, 9, 3, 1,....

First term a1= 27, second term a2= 9, third term a3= 3 etc...

Standard form of the n-th term is

an = a1 · q∧(n-1)

We will find quotient when we divide second term with first and third with second

q = a2/a1 = a3/a2 = 9/27 = 3/9 = 1/3

Formula fot n-th term is

an = 27 · (1/3)∧(n-1)

God with you!!!

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Answer:

the answer is 3

Step-by-step explanation:

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3 years ago
Estimate the square root of 82. Round to the nearest hundredth. Show your work!
LuckyWell [14K]

Answer:

9.0.

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8 0
3 years ago
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A restaurant has a total of 30 tables which are of two
Anna007 [38]

Answer:

Total number of tables of first type       = 23.

Total number of tables of second type = 7

Step-by-step explanation:

It is given that there are 30 tables in total and there are two types of tables.

Let's call the two seat tables, the first type as x and the second type as y.

∴                                             x + y = 30                        ......(1)

Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:

                                            2x + 5y = 81                        .....(2)

To solve (1) & (2) Multiply (1) by 2 and subtract, we get:

                                                      y = 7

Substituting y = 7 in (1), we get x = 23.

∴ The number of tables of first kind         = 23

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3 0
3 years ago
What is 2 + 2 equal to
irga5000 [103]
4....................?
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3 years ago
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The number of seats in a row has been increased at a rectangular-shape movie theater after renovation so that it is now five mor
Damm [24]

Let the number of rows be = r

Let the number of seats per row be = s

we know that the number of seats is 126.

So, s\times r=126    ..... (1)

As given, there are five more seats per row than the number of rows, so we can say that:

s=r+5

Putting this in equation (1)

(r+5)*r=126

r^{2}+5r=126

r^{2}+5r-126=0

r^{2}+14r-9r-126=0

(r+14)(r-9)=0

r=-14 and r=9 (neglecting the negative value) we get r=9

And s=r+5

so, s =9+5=14

Hence, there are 5 rows and 14 seats per row.

4 0
3 years ago
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