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
r-ruslan [8.4K]
3 years ago
13

Write the explicit formula for the geometric sequence 2, 8, 32, 128

Mathematics
1 answer:
Alja [10]3 years ago
3 0
The first term, a, is 2.  The common ratio, r, is 4.  Thus,

a_(n+1) = 2(4)^(n).

Check:  What's the first term?  Let n=1.  Then we get 2(4)^1, or 8.  Is that correct?  No.

Try this instead:

a_(n) = a_0*4^(n-1).  Is this correct?    Seeking the first term (n=1), does this formula produce 2?      2*4^0 = 2*1 = 2.  YES.

The desired explicit formula is   a_(n) = a_0*4^(n-1), where n begins at 1.


You might be interested in
וח
fenix001 [56]

Answer:

The equation solved for V is m/d=V

7 0
3 years ago
Select the correct locations on the graph.
Dmitry [639]

Answer:

ever find the answer? I cant manage to find it

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20express%20%5C%3A%20%20%5C%3A%20%5Csin%282x%29%20%20-%20%20%5Csqrt%7B3%7D%20%20%5Ccos%282x%2
gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0
3 years ago
I really need help on this please
hammer [34]
The answer is letter A
7 0
3 years ago
The distance from New York to Chicago is
den301095 [7]
You need to find the total miles he traveled then multiply it by 3.
New York --> Chicago is 714 miles,
Chicago --> Washington is 596 miles,
Washington --> New York is 205 miles.
so total he traveled 1,515 miles.
1,515 x 3 = 4,545.
So D would be your answer (:
8 0
3 years ago
Other questions:
  • Classify the number as rational or irrational: 4.126532
    10·1 answer
  • Examine these points on line u and line v.
    11·2 answers
  • 2 and 1 fourth divided by 3 and 1 fifth simplified
    5·1 answer
  • PLEASE HELP ME I'LL MAKE YOU BRAINLIEST!!!! In 1972, federal vehicle emission standards 3.4 grams hydrocarbons released per mile
    12·1 answer
  • Find g^-1(x) <br><br> A<br> B<br> C<br> D
    9·1 answer
  • Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.
    11·1 answer
  • Solve the system of equations y=8x+5 y=6x+25​
    15·1 answer
  • Given f(x)=3x^2+kx+9, and the remainder when f(x) is divided by x-3 is 6, then what is the value of k?
    9·1 answer
  • Pls help me i need it pls
    14·2 answers
  • What is the value of c in the equation below?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!