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
emmainna [20.7K]
2 years ago
5

Develop an explicit formula in terms of n for the nth term of the following sequence:

Mathematics
1 answer:
nalin [4]2 years ago
4 0
<h2>Answer with explanation:</h2>

The given sequence :  0,4,18,48,100,180,......

We can write the terms of the sequence as :

\text{Ist term }:a_1=1(1^2-1)=0\\\\\text{IInd term }: a_2=2^2(2-1)=4(2-1)=4\\\\\text{IIIrd term }:a_3=3^2(3-1)=9(2)=18\\\\\text{IVth term }:a_4=4^2(4-1)=(16)(3)=48\\\\\text{Vth term }:a_5=5^2(5-1)=25(4)=100\\\\\text{VIth term }:a_6=6^2(6-1)=36(5)=180

From the above presentation of the terms, the explicit formula in terms of n for the nth term will be :-

a_n=n^2(n-1)

Put n= 7 , we get

a_7=7^2(7-1)=49(6)=294

Therefore, the seventh term of the given sequence = 294

You might be interested in
Given g(x) = x2 + 3x - 19, find g(-2)
BlackZzzverrR [31]

Answer:

-4 + -6 -19

-10 -19

-29

5 0
3 years ago
Point M is between points N and K. Along the same segment, pointL is between points M and K. If NM = 110 + 4x, ML = x + 103,LK =
Advocard [28]

Answer:

;w

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The converse of the statement “If a quadrilateral has four right angles, then it is a rectangle” is "______."
Nataly [62]
A quadrilateral because you just reverse the question.
6 0
3 years ago
Our buyer client Heather just signed a purchase agreement for a $520,000 home. The LTVR is 60%. How much is Heather putting down
aivan3 [116]
312,000$.

I just found 60 percent of 520,000 so I hope that’s what you wanted, and I am truly sorry if it isn’t.
5 0
3 years ago
What is the median of the following numbers 45,36,52,55,47, 39
Elena L [17]

Answer:

46

Step-by-step explanation:

By arranging the numbers from least to greatest, you can find the median by locating the central number in the data set.

8 0
2 years ago
Other questions:
  • SURFACE AREAS – PYRAMIDS URGENT
    5·1 answer
  • Pls help me...how do u factor that ?
    11·1 answer
  • Find the discriminant, and determine the number of real solutions. then solve 2x^2+3x-9=0
    8·1 answer
  • X-1/x-1=1 what is the answer????
    11·1 answer
  • Hi, I am taking a test and really need help...... This is worth 19 points please help!!!
    11·2 answers
  • Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 2x + 3 intersect are the s
    8·1 answer
  • How many millimetres are there in 5 and a half litres
    15·1 answer
  • What is 30% of 60?????
    9·2 answers
  • Help po plsss !!!!!!!​
    10·2 answers
  • each day you terry and 3 other friends randomly choose one of your 5 names from a hat to decide who throws away everyone's lunch
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!