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
I need help with these questions​
attashe74 [19]

Answer:

29. D

30. A

31. 15

32. -34

33. -241

34. -36

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Key Features of Graphs of Functions - Part 1
dexar [7]

Answer:

See below

Step-by-step explanation:

Q1.

  • In a function, every <u>output</u> value corresponds to exactly one <u>input </u>

value.

<em>The words to be interchanged are underlined. The function as per definition has exactly one output for each input.</em>

Q2.

Part A

  • Because it has 2 same input value for 2 different output values

Part B

  • The two points are (4, -2) and (4, 2)
5 0
3 years ago
Read 2 more answers
HELP ME PLEASEEEEE
AVprozaik [17]

Answer:  (x,y) = (-1, 1)

This means that x = -1 and y = 1

========================================================

Explanation:

The first equation says that y is the same as 2x+3

That allows us to substitute y for 2x+3 in the second equation like so:

2x+5y = 3

2x+5( y ) = 3

2x + 5(2x+3) = 3 .... y replaced with 2x+3

2x+10x+15 = 3

12x+15 = 3

12x = 3-15

12x = -12

x = -12/12

x = -1

Then we'll substitute this into the first equation to find y

y = 2x+3

y = 2(-1) + 3 .... x replaced with -1

y = -2+3

y = 1

Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)

If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.

3 0
2 years ago
Which one is correct?
jeka94

Answer:

The first one (A) is the answer I got!

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
3241004551 [841]

You did not provide us with equations to select.

Find the slope m.

m = (1 - 2)/(3 - (-1))

m = -1/(3 + 1)

m = -1/4

Use the slope and one of the points and plug into the point-slope formula.

y - 1 = (-1/4)(x - 3)

Isolate y.

y - 1 = (-1/4)x + (3/4)

y = (-1/4)x + (3/4) + 1

y = (-1/4)x + (7/4)

Did you follow?

5 0
3 years ago
Read 2 more answers
Other questions:
  • How to solve equation? |n-2|=1
    5·1 answer
  • What is the sum of the geometric sequence -4, 24, -144, if there are 6 terms
    11·1 answer
  • What time will it be 15 minutes later? Times:9:17 and 4:52 Please help good luck
    10·2 answers
  • Please answer asap. pretty sure I know the answer just need to be certain.
    13·1 answer
  • Write down the temperature which is 5 degree below -2​
    6·2 answers
  • $1 per cab ride, $1 per mile driven, 16 miles long, how much would it cost ?
    13·2 answers
  • Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of ballo
    10·1 answer
  • I need help with this
    6·1 answer
  • A researcher is interested in determining if a psychic really has power to predict. The researcher takes four cards, each of a d
    15·1 answer
  • What is the 100th term in the list?1017243138
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!