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kumpel [21]
3 years ago
6

Find the common ratio and the explicit formula -3, 9, -27, 81,​

Mathematics
1 answer:
Fofino [41]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

a_{n}\\ = a(r)^{n-1}

where re a is the first term and r the common ratio

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3 ← common ratio

and a = - 3, thus

[te x]a_{n}[/tex] = - 3(-3)^{n-1} ← explicit formula

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Which is the most economic way to lessen electric consumption?
AysviL [449]

Answer:

1) c. Use only appliances to do the most important task in the house.

2) b. 112kwh

3) b. 111kwh

Step-by-step explanation:

Energy can be defined as the ability (capacity) to do work and it's measured in Joules. The various forms of energy are solar energy, chemical energy, thermal energy, wind energy, nuclear energy, electrical energy, etc.

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

Power = \frac {Energy}{time}

Energy consumption is the total amount of power used by an electronic device per unit time and it's measured in Watt-hour or Kilowatt-hour.

Mathematically, it is given by the formula;

Energy = power * time

Generally, the most economic way to lessen electric consumption is by ensuring only the important electrical appliances are used at all times.

2. Given the following data;

Previous reading = 2156 KWh

Present reading = 2268 KWh

To find how many kilowatt-hour was consumed;

Energy consumption = present reading - previous reading

Energy consumption = 2268 - 2156

<em>Energy consumption = 112 KWh</em>

3. Given the following data;

Previous reading = 5512 KWh

Present reading = 5623 KWh

To find the electrical consumption of Falogme Family;

Electrical consumption = present reading - previous reading

Electrical consumption = 5623 - 5512

<em>Electrical consumption = 111 KWh</em>

6 0
3 years ago
The variable Z is directly proportional to X. When X is 6, Z has the value 18.
Reika [66]

Yo sup??

let the relation be

z=Kx

when z=18 , x=6

18=k6

k=3

z=3x

when x=10

z=3*10

=30

Hope this helps

7 0
3 years ago
2. My bank account contains pesos 3021 and make monthly withdrawals of pesos 78 for 12 months. What is my new bank balance.
Agata [3.3K]

Answer:

ok I will try solve your problem. good luck

Step-by-step explanation:

a. known: Bank balances : 3021 pesos

monthly withdrawals: 78 pesos

months of withdrawal: 12 months

b. asked: new bank balance?

c. equation: New bank balance= bank balance - ( monthly withdrawals X months of withdrawal)

d. New bank balance: 3021- (78x12)

= 3021 - 936

= 2085 pesos

e. my new bank balance is 2085 pesos.

4 0
1 year ago
What is the radius of a circle in which a 30° arc is 2 pi inches long?
kifflom [539]
The answer is 12 inches
4 0
3 years ago
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maxonik [38]

Answer:

the answer is \frac{3\sqrt{73} }{73}

Step-by-step explanation:

If you have any questions feel free to ask  - Mark

7 0
3 years ago
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