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
n200080 [17]
3 years ago
14

What is the next fraction in the sequence? Simplify your answer. 3/4, 5/8, 1/2, 3/8,

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0

Answer: 2/8.

Step-by-step explanation:

When we have this type of problem, the usual way to solve them is trying with known types of sequences.

I will start with the arithmetic sequence, where the difference between any two consecutive terms is a constant. And if we call this difference as D, we will have the recursive relation:

Aₙ = Aₙ₋₁ + D

To check if this sequence is an arithmetic sequence, we can take the first two terms and see the difference:

(5/8 - 3/4) = (5/8 - 6/8) = -1/8.

Now let's do the same, but with the second and third terms:

(1/2 - 5/8) = (4/8 - 5/8) = -1/8

The difference is the same, -1/8.

Now we can use the recursive relationship above and the last given term of the sequence to find the next one:

A₅ = A₄ + (-1/8)

A₅ = 3/8 - 1/8 = 2/8

Then the next fraction in the sequence was 2/8.

You might be interested in
Write and solve a system of THREE inequalities that models the situation below.
emmasim [6.3K]

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

6 0
2 years ago
4 friends went to the movies and each ordered a container of popcorn.They spent $24 on popcorn.How much did each container of po
alexandr402 [8]

Answer: $6

Step-by-step explanation:

24/4 = 6

5 0
2 years ago
Read 2 more answers
Kim namjoon...<br><br> anyone army??
vova2212 [387]

Answer:

Er... um... huh?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Dimension of a cuboid is 4 m 3 m ad 5 m how many such cuboid can form a cube....... please and urgent..experts please help
larisa [96]

Step-by-step explanation:

We dimension of the smallest cube to be made from cuboids of sides 3 m , 4 m and 5 m will be the least common multiple of 3 m, 4 m and 5 m i.e. 60 m

12 cuboidal should be stacked along 5 m edge to 60 m, 15 cuboids should be stacked along 4 m edge and 20. cuboids should be stacked along edge to make a cube of 60 m edge, Hence number of cuboids are 12× 15 ×20=3600

hope it helps

4 0
3 years ago
Is there a math person who could give a hand
Gnesinka [82]

Answer:

I believe that the answer is D.

Step-by-step explanation:

Hope this helps!

4 0
2 years ago
Other questions:
  • A group of students are standing in rows. There are as many students in a row as there are rows. If there are 64 students in the
    5·1 answer
  • A parallelogram with four equal sides, but no right angles
    8·1 answer
  • The YMCA lap pool is a right rectangular prism
    12·2 answers
  • I=\sqrt{-1}i= −1 ​ i, equals, square root of, minus, 1, end square root, what is the sum (7+3i)+(-8+9i)(7+3i)+(−8+9i)left parent
    8·1 answer
  • Laws of sines: the ambiguous case. I need help solving 3,6&amp;9. Not sure what to do. Someone please help me
    8·1 answer
  • 2
    6·1 answer
  • Cassie’s plant is growing 5 inches per day, while Jeremy’s plant is growing 6 inches per day. If this pattern were to continue,
    9·1 answer
  • 5×12÷[-12÷{15+(4-13)}]​
    14·1 answer
  • SOLVE THIS FOR ME AND YOUR A LEGEND! THANK YOU!
    7·1 answer
  • Need answer quick for an assignment please.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!