Ask a New Question

Asked by please help me out!!!!

What is the largest triangle number that is less than 1000?
12 years ago

Answers

Answered by Reiny
Do you mean the largest "triangular number" ?

Triangular numbers are
1 , 3, 6, 10, 15, 21 , ....., n(n+1)/2

so n(n+1)/2 ≤ 1000
n^2 + n ≤ 2000
n^2 + n - 2000 ≤ 0

let's solve the equation
n = (-1 ± √8001)/2 = appr 44.2 or a silly negative

if n = 44 , term(44) = 44(45)/2 = 990
if n = 45 , term (45) = 45(46)/2 = 1035 too big

the largest triangular number < 1000 is 990
12 years ago

Related Questions

in a triangle,the largest angle is 29 degrees more than the smallest.The third angle is 13 degrees l... If n+1 is the largest of four consecutuve integers, represent the sum of four integers. A 4n+10 B... What is the largest possible product of a collection of positive real numbers which sums to exactly... Show that the largest triangle of given perimeter is equilateral. A triangle's largest side is less than the sum of its other two sides. The sum of the squares of its... Which of these is the largest living carbon sink?(1 point) Responses soil soil ins... What is the largest value of x that would make the following list of a points not a function.... This is the name of the largest shopping mall in Buenos Aires.(1 point)ResponsesTikal FuturaTikal Fu... what is the largest cat? Which of these is the largest living carbon sink? (1 point) A insects B ocean C soil D Fores...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use