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
loris [4]
3 years ago
6

Write a formula for the general term or nth term for the sequence. Then find the indicated term. five halves comma five fourths

comma five eighths comma five sixteenths ...; a 8 a Subscript nequals ?
Mathematics
1 answer:
nadya68 [22]3 years ago
6 0
Sequence: 5/2, 5/4, 5/8, 5/16
a8=?

a1=5/2
a2=5/4
a3=5/8
a4=5/16

a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2

an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n

n=8→a8=5/2^8
a8=5/256

Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
You might be interested in
On a math test a​ student, Sarah​, has to identify all the coefficients and constants of the expression 8m+2+n. Sarah says that
Shalnov [3]

Answer:

Coefficients: 8

Constants: 2

Variables: m and n

Step-by-step explanation:

Sarah had made no errors-

A number on its own is called a Constant.

A coefficient is a number used to multiply a variable.

6 0
2 years ago
Read 2 more answers
Anthony went out to eat dinner, and the meal cost $50.00. If Anthony received a 15% discount, what was the total value of the di
jok3333 [9.3K]

Answer:

$7.5

Step-by-step explanation:

7 0
2 years ago
In angle ABC, what is the measure of angle B?<br> 46°<br> 48<br> 70°<br> 92
fiasKO [112]
The answer is 46. All equal to 46%
4 0
3 years ago
On a Venn diagram, a value that represents what two circles have in common is written outside of both circles. True or false
Lana71 [14]
Answer: False. 

Values that are in common with both circles will be inside both circles. These values will be in the overlapping region of the two circles. 
6 0
3 years ago
Read 2 more answers
The sum of a number and 20 is no more than the sum of the square of the number and 9.
aniked [119]

A is the correct answer.

break down the word problem.

You also have to recognize key words which figure into mathematical symbols.

ex. sum of a number and 20 is x+20

square of the number and 9 is (x+9)^2

please vote my answer brainliest! thanks.

5 0
3 years ago
Other questions:
  • What is the value of x in this equation?<br><br> 2x + 2 = -5
    9·2 answers
  • If f(x) = x2 − 6x + 3 x − 1 , what is f(−1)? A) −5 B) −2 C) 2 D) 5
    5·1 answer
  • |b|+b^3;b=-2 evaluate the expression
    5·1 answer
  • What ordered pair is a solution of the equation ? 2x + 4y = 6x - y
    9·1 answer
  • A rope is swinging in such a way that the length of the arc is decreasing geometrically. If the first arc is 18 feet long and th
    11·2 answers
  • What is the slope of a line that is perpendicular to the graph of y = 2x + 5? A-² B 72 C2 D-2​
    7·1 answer
  • A garden table and a bench cost S585 combined. The garden table costs S65 less than the bench. What is the cost of the bench?
    11·1 answer
  • Solve for c when,<br><img src="https://tex.z-dn.net/?f=7c%20%3D%2028" id="TexFormula1" title="7c = 28" alt="7c = 28" align="absm
    12·2 answers
  • The cost of ordering T-shirts from a Web site is shown in the table.
    6·1 answer
  • A car is traveling at a rate of 120 kilometers per hour. What is the cars rate in miles per hour? How many miles will the car tr
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!