1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zlopas [31]
3 years ago
10

The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

Answer:

Step-by-step explanation:

The formula for a geometric sequence is

a_n=a_1*r^{n-1} where n is the position in the sequence, a1 is the first number in the sequence, and r is the common ratio. For us, a1 = -2 and r = 3, n = the 4th term:

a_4=-2*3^{4-1} and

a_4=-2*3^3 and

a_4=-2*27 so

a_4=-54

The 4th term in the geometric sequence is -54.

You might be interested in
An emu that measure 60 inches in height is 70 inches less than 5 times the height of a kakapo.What is the height of the kakapo i
mariarad [96]
5x-70=60
5x=130
x=26 inches
6 0
3 years ago
Read 2 more answers
The expression 1000(1.1)^t represents the value of a $1000 investment that earns 10% interest per year, compounded annually for
torisob [31]
After 4 years
the value = 1000 × (1.1)⁴
the value = 1000 × 1.4641
the value = 1464.1
8 0
3 years ago
Read 2 more answers
Will be giving brainliest to whoever can answer this question
Step2247 [10]

Answer:

see below

Step-by-step explanation:

360 - 56 - 106 = 198 degrees

198 / 3 = 66 degrees per unit

angle f = 132 degrees

angle g = 66 degrees

8 0
3 years ago
Find two numbers if their sum is 6.1 and their difference is 1.6
Radda [10]
For this case, the first thing we must do is define variables:
 x: unknown number (1)
 y: unknown number (2)
 We now write the equations that model the problem:
 their sum is 6.1:
 x + y = 6.1

 their difference is 1.6:
 x - y = 1.6

 Solving the system we have:
 We add both equations:
 x + x = 6.1 + 1.6

2x = 7.7

x = 7.7 / 2

x = 3.85
 Then, we look for the value of y using any of the equations:
 x - y = 1.6

y = x - 1.6

y = 3.85 - 1.6

y = 2.25
 Answer:
 
The numbers are:
 
x = 3.85

y = 2.25
6 0
4 years ago
Read 2 more answers
Grant earns $5 for each magazine he sells.Write an equation in two variables showing the relationship between the number pf maga
slega [8]

Answer:

A=5m

Grant will make $60 from selling 12 magazines.

Step-by-step explanation:

Let m represent number of magazine sold and A represent amount of money earned.

We have been given that Grant earns $5 for each magazine he sells. So amount earned from m magazines would be 5 times m that is 5m dollars.

Now, we will equate total amount earned by Grant with A as:

A=5m

Therefore, our required equation would be A=5m.

To find the amount earned by Grant by selling 12 magazines, we will substitute m=12 in our equation as:

A=5(12)

A=60

Therefore, Grant will make $60 from selling 12 magazines.

3 0
4 years ago
Other questions:
  • F(x) = x − 8, g(x) = |x + 8|<br> Find <br> (f ∘ g)(x).
    13·1 answer
  • PLEASE HELP for my math class
    15·1 answer
  • A circular flower bed in a botanical garden has a radius of 4 feet. What is the area of the flower bed? Use 3.14 for π . Enter y
    14·1 answer
  • Chloe wants to wrap a present in a box for sarah. The top and bottom of the box is 8in by 3in, the sides are both 3in by 2in and
    13·2 answers
  • A caterer charges a $65 equipment fee to set up for a party and $9.50 per p person for food served at the party. Which of the fu
    10·1 answer
  • Evan deposits $500 in a savings account that earns interest. Let f(t)=500 and g(t)=1.05t, where t represents the time, in years,
    10·1 answer
  • Use the remainder theorem to find the remainder for (x ^5 + 32) divided by (x+2) and state whether or not the binomial is a fact
    11·2 answers
  • Find me the answer please ​
    7·2 answers
  • Select two ratios that are equivalent to 2 : 9.<br>​
    15·1 answer
  • Domain of y=5x+2 help!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!