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
kotykmax [81]
3 years ago
9

How do you find the nth to the quadratic sequence of 3,8,15,24,35

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Having the first term of the sequence 

<span>a<span>(0)</span>=3</span>

<span>a<span>(1)</span>=3+5=8</span> 

We realized that 

<span>a<span>(1)</span>=a<span>(0)</span>+2⋅2+1</span>

We also have :

<span>a<span>(2)</span>=a<span>(1)</span>+2⋅3+1=8+7=15</span> 

<span>a<span>(3)</span>=a<span>(2)</span>+2⋅4+1=15+9=24</span>

From above we can realize that each term is the sum of the previous

term and 2*(sequence coefficient added to 1) and 1

So the nth term will be:

<span>a<span>(n)</span>=a<span>(n−1)</span>+2⋅<span>(n+1)</span>+<span>1
</span></span>

You might be interested in
What is the remainder when 12 345 x 54 321 is divided by 9?<br>1<br>2<br>3​
GrogVix [38]
I think 3 or 2 if this is not right am sorry ;-;
5 0
2 years ago
Read 2 more answers
Dan makes $72 working 8<br> hours. How much does he<br> make per hour?
Gnom [1K]

Answer:

9 dollars per hour

Step-by-step explanation:

We want to use a ratio to find the rate in dollars per hour

72 dollars / 8 hours

Simplify by dividing the top and bottom by 8

9 dollars / 1 hour

9 dollars per hour

6 0
2 years ago
Read 2 more answers
What is the smallest of 3 consecutive odd numbers if the product of the smaller two integers is 3 less than 6 times the largest
pochemuha

Answer:

7,9,11

Step-by-step explanation:

Let first number is x, second number is (x+2) and third number is (x+4).

ATQ,

The product of the smaller two integers is 3 less than 6 times the largest integer.

x(x+2) = 6(x+4)-3

x² + 2x = 6x+24-3

x² + 2x = 6x+21

x² + 2x -6x -21=0

x²-4x -21=0

It is a quadratic equation whose solution is :

x = -3 and x = 7

First number = 7

Second number = 9

Third number = 11

Hence, this is the required ssolution.

3 0
3 years ago
Math help plsssssssssss
goldenfox [79]
What do you need??????????????

4 0
3 years ago
Which value of K will make x^2-1/4x+k a perfect square trinomial?
lakkis [162]
To find it it is
ax^2+bx+c
if the first term (a) is 1 then c=b/2
b=-1/4
(-1/4)/2=-1/4 times 1/2=-1/8

k=-1/8


4 0
3 years ago
Other questions:
  • HOW DO YOU WORK OUT 6.34 x 5.2 without calc pls show all working out
    14·2 answers
  • Nevermind cannot find photot
    10·1 answer
  • What is the answer for 12 over 75 (fraction)
    7·1 answer
  • Consider the functions below.
    9·1 answer
  • Find the Volume of the box using the Pythagorean Theorem.
    9·2 answers
  • Write five 7 -digits numbers
    5·2 answers
  • Find the value of X in the triangle shown below.
    6·1 answer
  • What is the solution to the system of equations below?
    15·2 answers
  • PLEASE TELL ME THE VALUE
    6·1 answer
  • Express as an improper fraction 13 ⅔<br>​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!