Hey guys,
I am no maths genius and need help with this itsy bitsy problem. I know I can easily find the solution by adding them one by one but I was wondering if someone can come up with a quicker solution to this problem, some sort of a formula I guess.
This is the problem:
A train will hold 78 passengers. If it starts out empty and picks up one passenger at the first stop, two passengers at the second stop, 3 passengers at the third stop and so on. After how many stops will it be full?
Thanks, appreciate the help
Primary level maths problem, please help

 Posts: 48
 Joined: Sun Dec 11, 2016 2:01 pm
Re: Primary level maths problem, please help
Well,this simply reduces the problem to the sum of n consecutive positive integers,which follows the equation :n(n+1)=156,simply factoring the expression,we find n=12 and n cannot be 13 as it is a negative integer.This just solves our problem that at the 12th stop,the bus would be full...