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
maria [59]
3 years ago
8

Write a rule for each pattern. Then use your rule to find the next two terms in the pattern. The numbers are: 1, 3, 6, 10, 15, 2

1, 28, 36
Mathematics
2 answers:
Leya [2.2K]3 years ago
5 0
Triangular Number Sequence

This is the Triangular Number Sequence:

<span>1, 3, 6, 10, 15, 21, 28, 36, 45, ...</span>

This sequence comes from a pattern of dots that form a triangle:

By adding another row of dots and counting all the dots we can 
find the next number of the sequence.

A Rule

We can make a "Rule" so we can calculate any triangular number.

First, rearrange the dots (and give each pattern a number n), like this:

Then double the number of dots, and form them into a rectangle:

<span><span>The rectangles are n high and n+1 wide</span><span>and <span>xn</span> is how many dots in the triangle (the value of the Triangular Number n)</span></span>

And we get (remembering we doubled the dots):

<span>2xn = n(n+1)</span><span>xn = n(n+1)/2</span>

<span>Rule: xn = n(n+1)/2</span>

Example: the 5th Triangular Number is

x5 = 5(5+1)/2 = 15

Example: the 60th is

x60 = 60(60+1)/2 = 1830

Wasn't it much easier to use the formula than to add up all those dots?

Luda [366]3 years ago
5 0
You add one more each time you need to find the next number in the pattern. To find the number after 36 you have to add 9. Then, to find the number after that, you will have to add 10.
You might be interested in
For which value of x is line l parallel to line m?<br><br>A. 28<br>B. 62<br>C. 22<br>D. 68​
Rudiy27

For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.

So, we can write that,

(2x + 6)° and 130° are supplementary.

⇛ 2x° + 6° + 130° = 180°

⇛ 2x° + 136° = 180°

⇛ 2x° = 44°

⇛ x° = 22°

The value of x for which line l is parallel to line m,

\large{ \boxed{ \bf{ \red{x = 22 \degree}}}}

And we are done !!

#CarryOnLearning....

<u>━━━━━━━━━━━━━━━━━━━━</u>

3 0
3 years ago
Please help asap ill give u brainliest too please
Mumz [18]

Answer: the solution is 1

Step-by-step explanation:

you subtract the 8 from 9 so you can get  the variable, y, by itself.

3 0
3 years ago
Read 2 more answers
Help pleaseeeeeee :(
Vikki [24]

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

5 0
3 years ago
Read 2 more answers
What are four key terms that can be used to describe Islam
horrorfan [7]

Answer:

Each of the four principles (beneficence, nonmaleficence,justice and autonomy) is investigated in turn.

Step-by-step explanation:

5 0
3 years ago
The volume of a one with a slant height of 50 inches and a diameter of 60 inches (approximate pi
mestny [16]

Answer:

hmgh

Step-by-step explanation:

gghfgh

5 0
3 years ago
Other questions:
  • donte bought a computer that was 20%off the regular price of $1,080. if an 8% sales tax was added to the cost of the computer, w
    12·1 answer
  • 3 hours to ride <br> 37.5<br> kilometers. What is the speed?
    8·1 answer
  • Help is needed please
    15·1 answer
  • A norman window has the shape of a rectangle surmounted by a semicircle. (thus the diameter of the semicircle is equal to the wi
    8·2 answers
  • Jacob brought 6 3/4 carrot cakes to share with the 26 students in his class did Jacob bring enough for each students to have 1/4
    8·1 answer
  • if the pattern below follows the rule "starting with 10,every consecutive line has a number one less than the previous line." ho
    5·1 answer
  • 3g(x) - 2f(x) hi<br><img src="https://tex.z-dn.net/?f=3g%28x%29%20-%202f%28x%29" id="TexFormula1" title="3g(x) - 2f(x)" alt="3g(
    10·2 answers
  • Derivatives of sin(logx) from first principle​
    9·1 answer
  • What is the conjugate of 7+2√5<br><br><br> i don’t know how to do this please help
    6·1 answer
  • A USB stick can store 1.1x10 power of 3
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!