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
andrew11 [14]
3 years ago
9

The nth term of a sequence is 3n2/2

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0

Question:

The nth term of a sequence is \frac{3n^2}{2} . Find the fifth term of the sequence

Answer:

The 5th term of the sequence is 37.5

Step-by-step explanation:

Given

nth\ term = \frac{3n^2}{2}

Required

Find the 5th term

To find the 5th term, we simply substitute 5 for n in the above expression.

This gives

5th\ term = \frac{3 * 5^2}{2}

5th\ term = \frac{3 * 5 * 5}{2}

5th\ term = \frac{75}{2}

5th\ term = 37.5

<em>Hence, the 5th term of the sequence is 37.5</em>

You might be interested in
The greater of two numbers is six more
pickupchik [31]

Answer:

 

Let's begin by writing the mathematical equations given by the sentences.

 

Let X = smaller number

Let Y = larger number

 

The first sentence tells us

X + Y = 38

 

The second sentence tells us

X = Y/3 + 6

 

Since you weren't given a specific method to use, you can use either the substitution method or the elimination(addition) method, whichever works best for you.

 

Since the 2nd equation has the X isolated, I'm going to isolate the X in the first equation,

X = 38 - Y

 

Since both equations are equal to X, I can set them equal to one another and solve for Y.

Y/3 + 6 = 38 - Y

 

Y + 18 = 114 - 3Y

4Y = 96

Y = 24

 

Then use either of the two original equations to solve for X

X + Y = 38

X + 24 = 38

X = 14

Step-by-step explanation:

PLS MAKE ME AS BRAINLIST

5 0
3 years ago
-7x^2+14x+21=0<br>answer?​
scoray [572]

Answer:

7(−x−1)(x−3)

Step-by-step explanation:

6 0
3 years ago
Which is the best approximation of PX
Aleks [24]

Answer:

We now want to find the best approximation to a given function. This fundamental problem in Approximation Theory can be stated in very general terms. Let V be a Normed Linear Space and W a finite-dimensional subspace of V , then for a given v ∈ V , find w∗∈ W such that kv −w∗k ≤ kv −wk, for all w ∈ W.

Step-by-step explanation:

8 0
3 years ago
Sarah received a gift in a rectangular box with a volume of 240 in3. If the base of the box was 20 in2, how tall was the box?
Murrr4er [49]
V = l * w * h
240 = 20* h
divide both sides by 20
12 = h
height = 12 inches
8 0
3 years ago
Read 2 more answers
Translate the following: 9 less than three times a number 2. 6 times the quotient of x and two 3. 4 times the difference of n an
KATRIN_1 [288]
(9-3)_
6 (x÷2)
4 (n-8)

I think this is right
6 0
3 years ago
Other questions:
  • The question is in the picture along with the answer choices please help!!
    8·1 answer
  • Which explanation justifies how the area of a sector of a circle is derived?
    15·1 answer
  • Complete the conditional statement. If -2a &gt; 6, then _____. a &gt; 3 a &lt; 3 a &lt; -3 a &gt; -3
    6·1 answer
  • Mr. Mustard said: "If you add the ages of my
    10·1 answer
  • Andy is alone in the wilderness and eager to get back to camp. Looking at his map
    15·2 answers
  • What Is the volume of the pyramid in the diagram?
    8·1 answer
  • Martha earns $15 per hour for babysitting. The parents always giver her a $5 tip.
    14·2 answers
  • The following table shows how many multiplication problems 444 students were able to solve in different amounts of time. For exa
    15·1 answer
  • Which conversion requires division?
    14·2 answers
  • Using a spreadsheet program, create an amortization schedule for a 30-year mortgage of $500,000 at an annual interest rate of 4.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!