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
Vadim26 [7]
3 years ago
8

Find the explicit formula that produces the given sequence. 3/2, 3/4, 3/8, 3/16,...

Mathematics
1 answer:
lara [203]3 years ago
7 0
\frac{3}{2};\ \frac{3}{4};\ \frac{3}{8};\ \frac{3}{16};\ ...\\\\a_1=\frac{3}{2}\\\\a_2=\frac{3}{4}=\frac{3}{2}\cdot\frac{1}{2}\\\\a_3=\frac{3}{8}=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^2\\\\a_4=\frac{3}{16}=\frac{3}{8}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^3\\\vdots
a_n=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{n-1}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{-1}\cdot\left(\frac{1}{2}\right)^n=\frac{3}{2}\cdot2\cdot\left(\frac{1}{2}\right)^n=3\cdot\left(\frac{1}{2}\right)^n
You might be interested in
Ok So I an taking algebra 1 and this question is really confusing me.
V125BC [204]
You use the arithmetic sequence formula and input the information given to you.
tn = a + (n-1)d
t(56) is what your looking for so don't worry about the tn.
a is your first term,
a = 15.
n is the position of the term you are looking for, n = 56.
And d is the common difference, you find this by taking t2 and subtracting t1. t2=18 and t1=15.
d = 18 - 15 = 3
Inputting it all into the formula you get,
t(56) = 15 + (56-1)(3)
term 56 = 180.
You use this formula to find any term in a sequence provided you are given enough info. You can also manipulate it if you are asked to find something else like the first term(a), common difference(d) or term position(n). It just depends on what the question is asking and what information you are given. :)
Hope this helps!

7 0
3 years ago
Each wheel on a car has a diameter of 22 inches.
ch4aika [34]
I think it will be 69.08
3 0
3 years ago
4 + -5 * -1 + 8=? <br> i need help so yeah
Natasha2012 [34]

Answer:

1

Step-by-step explanation:

4+(-5*-1)-8

4+5-8

9-8

pemdas

8 0
3 years ago
Read 2 more answers
Model the expression as groups of x + 2. There are x tiles. There are + 1 tiles. The equivalent expression is .
frez [133]

Answer:

x + 2 = 3

Step-by-step explanation:

x is always = to 1

6 0
3 years ago
Read 2 more answers
1. What are the zeros of the function?
Juliette [100K]
C. 

You can factor that equation to the following:

x(x - 3)(x + 2) 

Then set each part equal to zero and solve individually. 
4 0
3 years ago
Read 2 more answers
Other questions:
  • A scale drawing has a scale of 2 cm :21 km. find the actual length for a drawing length of 4.5 cm
    7·2 answers
  • Solve the equation. x/8 + 12= 16
    6·2 answers
  • A dog breeder plans to mix two types of food to make a mix of low cost
    9·1 answer
  • 7 + 6(w +-6) vbdrufbhjf
    10·1 answer
  • Noel and Casey both start at the same place. Noel walks due south and Casey walks due east. After some time has passed, Noel is
    8·1 answer
  • What is the largest multiple of 36 that can be written with each digit 0-9 exactly once?
    14·2 answers
  • I need help with this please​
    12·2 answers
  • A and B take M days to complete a task together if A takes 27 days more than A and B to complete the task alone. And if B takes
    9·1 answer
  • The table represents an exponential function
    13·1 answer
  • Write the equation given the following polynomial graph.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!