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
PLEASE HELP 10 POINTS!!
-Dominant- [34]

Answer:

I think its c but not really sure but ill calculate it if I ever had the chance

5 0
2 years ago
Find the value of x (picture provided)
Ivan

Answer:

x = 53

Step-by-step explanation:

The two angles identified are alternate exterior angles.  Since the lines are parallel, alternate exterior angles are equal.

2x+15 = 3x-38

Subtract 2x from each side

2x-2x+15 = 3x-2x-38

15 = x-38

Add 38 to each side

15+38 = x-38+38

53 = x

5 0
3 years ago
Read 2 more answers
25h to the power of 10 +18
lesya692 [45]

Answer:

1.509909034 x10 ^36

Step-by-step explanation:

10 plus 18 is 28

Then you would multiply 28 by 25 numbers of itself.

6 0
2 years ago
Using x as the variable, write a formula to find the perimeter of the figure. Use the formula to find the perimeter. a regular d
Mamont248 [21]

Answer:

c. 12x; 111 cm

Step-by-step explanation:

The regular dodecagon has 12 sides. Each side has a length of x=9.25 cm, and we know that the perimeter of the figure is the sum of the lengths of all the sides: Therefore, since we have 12 sides, the perimeter will be given by the product between the length of each side, x, and the number of sides, 12:

p=12 \cdot x

and if we substitute x = 9.25 cm, we find

p=12 \cdot 9.25 cm=111 cm

6 0
2 years ago
Elaine and Rocco shared a bag of popcorn Rocco are 5/8 of the bag Elanie ate 1 3/8.how much popcorn did Elanie and Rocco eat in
amid [387]
2 bags, because when you add 5/8 and 1 3/8 you get 1 8/8 which is really 2
7 0
3 years ago
Other questions:
  • The value of a two-digit number exceeds twice the sum of its digits by 19. The tens digit is two less than the units digit. Find
    10·1 answer
  • What are the factors of 65. Like a factor tree.
    11·2 answers
  • Please help me with my homework!!!!
    13·1 answer
  • a car company reduced the amount of cars produced from 500000 to 420000. what is the percent decrease in the amount of car produ
    12·1 answer
  • What is a visual artifact? please help without copying the internet
    9·1 answer
  • The school events committee is planning to buy a banner and some helium balloons for graduation night. A store charges them $35
    8·2 answers
  • Please explain steps
    14·2 answers
  • What is the value of a in the division of <br>x3+5x2+6x+1 ÷ x-a​
    7·1 answer
  • Wilbur ran 27.6 miles more than Totsakan
    12·1 answer
  • Calculate DE to the hundredths place.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!