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
Gemiola [76]
3 years ago
12

What is the 5th term in the sequence d(n)=5/16 (2)^n−1

Mathematics
1 answer:
Verizon [17]3 years ago
5 0

Answer:

Therefore the 5th term is 5.

Step-by-step explanation:

Given:

Sequence is

d(n)=\dfrac{5}{16}2^{n-1}

To Find:

5th term, d(5) = ?

Solution:

d(n)=\dfrac{5}{16}2^{n-1} ....Given

For 5th term put n = 5 then we get

d(5)=\dfrac{5}{16}2^{5-1}=\dfrac{5}{16}\times 2^{4}\\\\d(5)=\dfrac{5}{16}\times 16=5\\\\\therefore d(5)=5

Therefore the 5th term is 5.

You might be interested in
Solve 3x+2y=5 and 7x+2y=9
vekshin1

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:(1,1)

Step-by-step explanation:

6 0
3 years ago
Pat listed all the numbers that have 15 as a multiple. Write the numbers in pats list
tiny-mole [99]
I believe the answer is 1,3,5,15

8 0
3 years ago
Read 2 more answers
Given c=(2.4,0.45) and d = (7,-4) find the direction of 5c+4d
kakasveta [241]

Answer:

The direction of 5c + 4d is approximately 19.0° clockwise with

the positive part of x-axis

Step-by-step explanation:

* Lets talk about the direction of a vector

- If the vector is (x , y), then  

# Its magnitude is √(x² + y²)

# Its direction is tan^-1 (y/x)

- The direction is the angle between the positive part of x-axis and  

  the vector

* Lets solve the problem

∵ c = (2.4 , 0.45) and d = (7 , -4)

- To find 5c + 4d , multiply the two coordinates of c by 5 and the two

  coordinates of d by 4

# Multiply c by 5

∴ 5c = [5(2.4) , 5(0.45)]

∴ 5c = (12 , 2.25)

# Multiply d by 4

∴ 4d = [4(7) , 4(-4)]

∴ 4d = (28 , -16)

- Lets add 5c and 4d

∴ 5c + 4d = (12 , 2.25) + (28 , -16)  

∴ 5c + 4d = [(12 + 28) , (2.25 + -16)]

∴ 5c + 4d = (40 , -13.75)

- The vector is in the 4th quadrant because the x-coordinate is

 positive and the y-coordinate is negative

* Find the direction of 5c + 4d

∵ The direction is tan^-1 (y/x)

∴ The direction is tan^-1 (-13.75/40) = -18.97°

* The direction of 5c + 4d is approximately 19.0° clockwise with

 the positive part of x-axis

3 0
3 years ago
What is 7(x + 3) please help meeeee PLEASE IM RUNNING OUT OF TIME
Gennadij [26K]

Answer:

The answer is 7x+21

5 0
3 years ago
Read 2 more answers
Which expressions can be used to compute the approximate area of triangle xyz? check all that appy
GenaCL600 [577]

Answer:

The answer is 1st point, 1/2×22.0×23.1

Step-by-step explanation:

You can let XY be the base and XZ be the height of the triangle. Then, by using the formula of the area of triangle, A=1/2×base×height to find the expression.

4 0
3 years ago
Other questions:
  • The product of the page numbers on two facing pages of a book is 272272. find the page numbers.
    6·1 answer
  • Simplify 3/2x+5+5/x-5
    11·2 answers
  • One watershed can encompass another watershed. true or false
    15·1 answer
  • Find a reasonable domain and range for this function:A charter boat travels at a maximum rate of 25 miles per hour. The function
    8·1 answer
  • How to find the area of the seating area
    9·2 answers
  • 8.45 lb; 2 significant digits
    9·1 answer
  • If the initial point of a vector is (6, −5) and the terminal point is (2, −3), find the components of the vector. A) <−4, −8&
    7·1 answer
  • Twenty more than twice a number of x
    5·1 answer
  • Suppose that IQ scores have a bell-shaped distribution with a mean of 104
    12·1 answer
  • Heather spent a total of 70 minutes working out at the gym.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!