Answer:
n = 60
Step-by-step explanation:
GIVEN DATA:
Total sum of consecutive number is 1800
sum of n number is given as
[tex] sum = \frac{ n(n+1)}{2}[/tex]
where n is positive number and belong to natural number i.e 1,2,3,4,...
from the data given we have[tex]1800 = \frac{n(n+1)}{2}[/tex]
solving for n we get
[/tex]n^2 + n -3600 = 0[/tex]
n = 59.5, -60.5
therefore n = 60
