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
Alla [95]
3 years ago
12

The nth term of sequence is n2 + 20

Mathematics
2 answers:
saw5 [17]3 years ago
7 0

Answer:

First three terms:

22,24,26

There are 15 terms in the sequence that are 50 or less, yet only 14 if its just less than 50.

RideAnS [48]3 years ago
6 0

Answers:

The first three terms are <u>21, 24, 29</u>

<u>5 terms</u> of the sequence less than 50.

======================================================

Explanation:

Plug in n = 1 to find that n^2+20 = 1^2+20 = 1+20 = 21. The first term is 21.

Repeat for n = 2 and you should get 2^2+20 = 24 as the second term.

The third term is 29 through similar steps, but this time you use n = 3 of course.

The first three terms are 21, 24, 29

It's effectively the first three perfect squares 1, 4, 9 but we have a tens digit of 2 stuck to the left of each value.

--------------------

We want to find when n^2+20 is less than 50. We could keep plugging values of n into that expression and record if the result is less than 50 or not, then tally those occurrences. You should record 5 such occurrences.

Or we could do a bit of algebra like so

n^2+20 < 50

n^2 < 50-20

n^2 < 30

sqrt(n^2) < sqrt(30)

n < sqrt(30)

On a calculator, sqrt(30) is roughly 5.4772 which means n < 5.4772. If n is a a natural number, then the largest it can get is n = 5 to ensure n^2+20 is less than 50.

We can see that,

  • n^2+20 = 5^2+20 = 45 when n = 5
  • n^2+20 = 6^2+20 = 56 when n = 6

This helps show that n = 5 is the largest n to make n^2+20 < 50 a true statement. This means that there are 5 terms of the sequence less than 50.

You might be interested in
Which graph shows a line that is perpendicular to line AB?
kherson [118]
The 3rd slot is the answer you are looking for
5 0
3 years ago
EASY MATHS PLS HELP​
Fofino [41]

Answer:

(1.25, - 5 )

Step-by-step explanation:

Given the 2 equations

- 4x + 3y = - 20 → (1)

4x + 2y = - 5 → (2)

Adding the 2 equations term by term will eliminate the x- term

5y = - 25 ( divide both sides by 5 )

y = - 5

Substitute y = - 5 into either of the 2 equations and solve for x

Substituting into (2)

4x + 2(- 5) = - 5, that is

4x - 10 = - 5 ( add 10 to both sides )

4x = 5 ( divide both sides by 4 )

x = \frac{5}{4} = 1.25

Solution is (1.25, - 5 )

3 0
3 years ago
Read 2 more answers
Geometry help! Picture included :)
AURORKA [14]
Set up a proprtion and cross multiply.

18/7.5=22/4x+1

7.5×22=18 (4x+1)
165=72x+18
147=72x
x=2.04
8 0
3 years ago
How is Pascal's triangle used in binomial theorem?.
Scorpion4ik [409]

To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

Learn more about triangle here

brainly.com/question/2773823

#SPJ4

7 0
1 year ago
A manufacturer of pickup trucks is required to recall all the trucks manufactured in a given year for the repair of possible def
Crank

Answer: 2%

Step-by-step explanation:

Let A be the event of having defective steering and B be the vent of having defective brake linings.

Given: P(A)  = 0.03  P(B) = 0.05

P(neither A nor B ) = 0.94

Using formula: P(either A nor B) = 1- P(neither A nor B )

= 1-0.94

i.e.  P(either A nor B) =0.06

Using formula:P(A and B) = P(A)+P(B)-P(either A or B)

P(A and B) =0.03+0.05-0.06

= 0.02

Hence, the percentage of the trucks have both defects = 2%

8 0
3 years ago
Other questions:
  • Please help me pls 7tyh grade math
    15·1 answer
  • Gas Mileage is how many miles you travel on one gallon of gasoline. A new Honda Accord Hybrid ( part electric, part gasoline ) t
    13·1 answer
  • Determine whether (6,4) is a solution to the following system of linear equations: x + y=10.....x-y=-2*
    6·1 answer
  • A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet
    6·1 answer
  • Is 100 both a perfect square and perfect cube
    15·1 answer
  • Dancing Pools sells swimming pools in 4 sizes. The small pool is 36 feet long and 9 feet wide. The medium pool is 40 feet long a
    14·2 answers
  • Factorise 36x³y-225xy³​
    6·2 answers
  • State the slope-intercept form of the equation for the graph with the points 3,0 and 0,-1
    8·1 answer
  • "Find the missing side Lengths. Leave your awnser as radicals in simple form"
    10·1 answer
  • 6z + 10= -2 solve this problem ​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!