× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
8
5
z
4
n
4
t
4
3
k
3
x
3
r
3
m
3
j
3
c
3
Home Q & A Board Science-Related Homework Help Mathematics
New Topic  
Anonymous peoplemover
wrote...
2 years ago
Use Gauss' formula for triangular numbers to find the triangular numbers greater than 800 and less than 900.
Read 133 times
2 Replies

Related Topics

Replies
Anonymous
wrote...
#1
2 years ago
Gauss formula to find nth triangular number is :-

Tn = n(n+1) / 2 .......(1)

Now we have to find triangular numbers greater than 800 and less than 900. So,

800 < n(n+1) / 2 < 900

Or, 1600 < n(n+1) < 1800

Now the values of n(natural number) which satisfies the given inquality are

n=40 , n=41 (by hit and trial method)

So,putting the values of n in equation (1),we get :-

T40 = 40(40+1) / 2 = 820

T41 = 41(41+1) / 2 = 861

ANSWER- Triangular numbers between 800 and 900 are 820 and 861.
Anonymous Author
wrote...
#2
2 years ago
Thank you! This was a much better explanation than I was given in my actual class.
New Topic      
Quick Reply
Explore
Post your homework questions and get free online help from our incredible volunteers
  870 People Browsing
Start New Topic Take the Tour CoursesNew Study Tools Topics Trending Browse by Textbook
Live Chat
Related Images
  
 313
  
 431
  
 466
Your Opinion
Where do you get your textbooks?
Votes: 447
Previous poll results: Which is the best fuel for late night cramming?